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Finding the Fourth Proportional to 10,983.60, 16,473.42 and 5,435.16

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Solution

The fourth proportional to 10,983.60, 16,473.42 and 5,435.16 is: 8,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.60 : 16,473.42 = 5,435.16 : x
  2. Step 2: Convert to fraction form
    10,983.60/16,473.42 = 5,435.16/x
  3. Step 3: Cross multiply
    10,983.60x = 16,473.42 × 5,435.16
  4. Step 4: Simplify right side
    10,983.60x = 89,535,673.45
  5. Step 5: Solve for x
    x = 89,535,673.45/10,983.60
  6. Step 6: Final answer
    x = 8,151.76

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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.