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Finding the Fourth Proportional to 10,166.55, 15,234.69 and 6,007.47

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Solution

The fourth proportional to 10,166.55, 15,234.69 and 6,007.47 is: 9,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.55 : 15,234.69 = 6,007.47 : x
  2. Step 2: Convert to fraction form
    10,166.55/15,234.69 = 6,007.47/x
  3. Step 3: Cross multiply
    10,166.55x = 15,234.69 × 6,007.47
  4. Step 4: Simplify right side
    10,166.55x = 91,521,943.13
  5. Step 5: Solve for x
    x = 91,521,943.13/10,166.55
  6. Step 6: Final answer
    x = 9,002.26

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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.