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Finding the Fourth Proportional to 10,331.52, 15,468.88 and 7,214.64

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Solution

The fourth proportional to 10,331.52, 15,468.88 and 7,214.64 is: 10,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.52 : 15,468.88 = 7,214.64 : x
  2. Step 2: Convert to fraction form
    10,331.52/15,468.88 = 7,214.64/x
  3. Step 3: Cross multiply
    10,331.52x = 15,468.88 × 7,214.64
  4. Step 4: Simplify right side
    10,331.52x = 111,602,400.40
  5. Step 5: Solve for x
    x = 111,602,400.40/10,331.52
  6. Step 6: Final answer
    x = 10,802.13

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