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Finding the Fourth Proportional to 10,937.60, 16,393.96 and 9,618.78

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Solution

The fourth proportional to 10,937.60, 16,393.96 and 9,618.78 is: 14,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.60 : 16,393.96 = 9,618.78 : x
  2. Step 2: Convert to fraction form
    10,937.60/16,393.96 = 9,618.78/x
  3. Step 3: Cross multiply
    10,937.60x = 16,393.96 × 9,618.78
  4. Step 4: Simplify right side
    10,937.60x = 157,689,894.57
  5. Step 5: Solve for x
    x = 157,689,894.57/10,937.60
  6. Step 6: Final answer
    x = 14,417.23

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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.