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Finding the Fourth Proportional to 10,785.77, 16,092.02 and 9,601.71

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Solution

The fourth proportional to 10,785.77, 16,092.02 and 9,601.71 is: 14,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.77 : 16,092.02 = 9,601.71 : x
  2. Step 2: Convert to fraction form
    10,785.77/16,092.02 = 9,601.71/x
  3. Step 3: Cross multiply
    10,785.77x = 16,092.02 × 9,601.71
  4. Step 4: Simplify right side
    10,785.77x = 154,510,909.52
  5. Step 5: Solve for x
    x = 154,510,909.52/10,785.77
  6. Step 6: Final answer
    x = 14,325.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.