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Finding the Fourth Proportional to 10,831.38, 16,257.93 and 7,310.22

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Solution

The fourth proportional to 10,831.38, 16,257.93 and 7,310.22 is: 10,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,831.38 : 16,257.93 = 7,310.22 : x
  2. Step 2: Convert to fraction form
    10,831.38/16,257.93 = 7,310.22/x
  3. Step 3: Cross multiply
    10,831.38x = 16,257.93 × 7,310.22
  4. Step 4: Simplify right side
    10,831.38x = 118,849,045.04
  5. Step 5: Solve for x
    x = 118,849,045.04/10,831.38
  6. Step 6: Final answer
    x = 10,972.66

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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.