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Finding the Fourth Proportional to 11,032.64, 16,557.28 and 5,839.68

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Solution

The fourth proportional to 11,032.64, 16,557.28 and 5,839.68 is: 8,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.64 : 16,557.28 = 5,839.68 : x
  2. Step 2: Convert to fraction form
    11,032.64/16,557.28 = 5,839.68/x
  3. Step 3: Cross multiply
    11,032.64x = 16,557.28 × 5,839.68
  4. Step 4: Simplify right side
    11,032.64x = 96,689,216.87
  5. Step 5: Solve for x
    x = 96,689,216.87/11,032.64
  6. Step 6: Final answer
    x = 8,763.92

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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.