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Finding the Fourth Proportional to 10,780.47, 14,873.49 and 8,787.60

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Solution

The fourth proportional to 10,780.47, 14,873.49 and 8,787.60 is: 12,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.47 : 14,873.49 = 8,787.60 : x
  2. Step 2: Convert to fraction form
    10,780.47/14,873.49 = 8,787.60/x
  3. Step 3: Cross multiply
    10,780.47x = 14,873.49 × 8,787.60
  4. Step 4: Simplify right side
    10,780.47x = 130,702,280.72
  5. Step 5: Solve for x
    x = 130,702,280.72/10,780.47
  6. Step 6: Final answer
    x = 12,123.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.