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Finding the Fourth Proportional to 7,884,796.80, 11,808,532.80 and 5,346,710.40

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Solution

The fourth proportional to 7,884,796.80, 11,808,532.80 and 5,346,710.40 is: 8,007,410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,796.80 : 11,808,532.80 = 5,346,710.40 : x
  2. Step 2: Convert to fraction form
    7,884,796.80/11,808,532.80 = 5,346,710.40/x
  3. Step 3: Cross multiply
    7,884,796.80x = 11,808,532.80 × 5,346,710.40
  4. Step 4: Simplify right side
    7,884,796.80x = 63,136,805,130,501.12
  5. Step 5: Solve for x
    x = 63,136,805,130,501.12/7,884,796.80
  6. Step 6: Final answer
    x = 8,007,410.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.