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Finding the Fourth Proportional to 10,577.92, 15,865.62 and 2,787.34

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Solution

The fourth proportional to 10,577.92, 15,865.62 and 2,787.34 is: 4,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.92 : 15,865.62 = 2,787.34 : x
  2. Step 2: Convert to fraction form
    10,577.92/15,865.62 = 2,787.34/x
  3. Step 3: Cross multiply
    10,577.92x = 15,865.62 × 2,787.34
  4. Step 4: Simplify right side
    10,577.92x = 44,222,877.25
  5. Step 5: Solve for x
    x = 44,222,877.25/10,577.92
  6. Step 6: Final answer
    x = 4,180.68

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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.