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Finding the Fourth Proportional to 10,578.35, 15,866.32 and 2,787.77

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Solution

The fourth proportional to 10,578.35, 15,866.32 and 2,787.77 is: 4,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.35 : 15,866.32 = 2,787.77 : x
  2. Step 2: Convert to fraction form
    10,578.35/15,866.32 = 2,787.77/x
  3. Step 3: Cross multiply
    10,578.35x = 15,866.32 × 2,787.77
  4. Step 4: Simplify right side
    10,578.35x = 44,231,650.91
  5. Step 5: Solve for x
    x = 44,231,650.91/10,578.35
  6. Step 6: Final answer
    x = 4,181.34

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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.