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Finding the Fourth Proportional to 7,308.60, 10,964.54 and 3,410.88

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Solution

The fourth proportional to 7,308.60, 10,964.54 and 3,410.88 is: 5,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.60 : 10,964.54 = 3,410.88 : x
  2. Step 2: Convert to fraction form
    7,308.60/10,964.54 = 3,410.88/x
  3. Step 3: Cross multiply
    7,308.60x = 10,964.54 × 3,410.88
  4. Step 4: Simplify right side
    7,308.60x = 37,398,713.14
  5. Step 5: Solve for x
    x = 37,398,713.14/7,308.60
  6. Step 6: Final answer
    x = 5,117.08

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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.