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Finding the Fourth Proportional to 10,568.90, 15,831.82 and 5,005.38

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Solution

The fourth proportional to 10,568.90, 15,831.82 and 5,005.38 is: 7,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.90 : 15,831.82 = 5,005.38 : x
  2. Step 2: Convert to fraction form
    10,568.90/15,831.82 = 5,005.38/x
  3. Step 3: Cross multiply
    10,568.90x = 15,831.82 × 5,005.38
  4. Step 4: Simplify right side
    10,568.90x = 79,244,275.19
  5. Step 5: Solve for x
    x = 79,244,275.19/10,568.90
  6. Step 6: Final answer
    x = 7,497.87

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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.