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Finding the Fourth Proportional to 7,504.64, 10,355.84 and 4,192

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Solution

The fourth proportional to 7,504.64, 10,355.84 and 4,192 is: 5,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.64 : 10,355.84 = 4,192 : x
  2. Step 2: Convert to fraction form
    7,504.64/10,355.84 = 4,192/x
  3. Step 3: Cross multiply
    7,504.64x = 10,355.84 × 4,192
  4. Step 4: Simplify right side
    7,504.64x = 43,411,681.28
  5. Step 5: Solve for x
    x = 43,411,681.28/7,504.64
  6. Step 6: Final answer
    x = 5,784.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.