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Finding the Fourth Proportional to 10,785, 16,178.72 and 3,390.52

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Solution

The fourth proportional to 10,785, 16,178.72 and 3,390.52 is: 5,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785 : 16,178.72 = 3,390.52 : x
  2. Step 2: Convert to fraction form
    10,785/16,178.72 = 3,390.52/x
  3. Step 3: Cross multiply
    10,785x = 16,178.72 × 3,390.52
  4. Step 4: Simplify right side
    10,785x = 54,854,273.73
  5. Step 5: Solve for x
    x = 54,854,273.73/10,785
  6. Step 6: Final answer
    x = 5,086.16

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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.