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Finding the Fourth Proportional to 10,805.86, 16,200.91 and 7,287.12

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Solution

The fourth proportional to 10,805.86, 16,200.91 and 7,287.12 is: 10,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.86 : 16,200.91 = 7,287.12 : x
  2. Step 2: Convert to fraction form
    10,805.86/16,200.91 = 7,287.12/x
  3. Step 3: Cross multiply
    10,805.86x = 16,200.91 × 7,287.12
  4. Step 4: Simplify right side
    10,805.86x = 118,057,963.89
  5. Step 5: Solve for x
    x = 118,057,963.89/10,805.86
  6. Step 6: Final answer
    x = 10,925.37

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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.