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Finding the Fourth Proportional to 10,761.96, 16,205.88 and 9,391.71

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Solution

The fourth proportional to 10,761.96, 16,205.88 and 9,391.71 is: 14,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.96 : 16,205.88 = 9,391.71 : x
  2. Step 2: Convert to fraction form
    10,761.96/16,205.88 = 9,391.71/x
  3. Step 3: Cross multiply
    10,761.96x = 16,205.88 × 9,391.71
  4. Step 4: Simplify right side
    10,761.96x = 152,200,925.25
  5. Step 5: Solve for x
    x = 152,200,925.25/10,761.96
  6. Step 6: Final answer
    x = 14,142.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.