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Finding the Fourth Proportional to 11,032.53, 16,539.49 and 4,787.84

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Solution

The fourth proportional to 11,032.53, 16,539.49 and 4,787.84 is: 7,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.53 : 16,539.49 = 4,787.84 : x
  2. Step 2: Convert to fraction form
    11,032.53/16,539.49 = 4,787.84/x
  3. Step 3: Cross multiply
    11,032.53x = 16,539.49 × 4,787.84
  4. Step 4: Simplify right side
    11,032.53x = 79,188,363.79
  5. Step 5: Solve for x
    x = 79,188,363.79/11,032.53
  6. Step 6: Final answer
    x = 7,177.72

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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.