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Finding the Fourth Proportional to 10,464.58, 15,665.28 and 6,753.97

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Solution

The fourth proportional to 10,464.58, 15,665.28 and 6,753.97 is: 10,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.58 : 15,665.28 = 6,753.97 : x
  2. Step 2: Convert to fraction form
    10,464.58/15,665.28 = 6,753.97/x
  3. Step 3: Cross multiply
    10,464.58x = 15,665.28 × 6,753.97
  4. Step 4: Simplify right side
    10,464.58x = 105,802,831.16
  5. Step 5: Solve for x
    x = 105,802,831.16/10,464.58
  6. Step 6: Final answer
    x = 10,110.57

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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.