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Finding the Fourth Proportional to 10,787.90, 14,886.92 and 6,007.68

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Solution

The fourth proportional to 10,787.90, 14,886.92 and 6,007.68 is: 8,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787.90 : 14,886.92 = 6,007.68 : x
  2. Step 2: Convert to fraction form
    10,787.90/14,886.92 = 6,007.68/x
  3. Step 3: Cross multiply
    10,787.90x = 14,886.92 × 6,007.68
  4. Step 4: Simplify right side
    10,787.90x = 89,435,851.55
  5. Step 5: Solve for x
    x = 89,435,851.55/10,787.90
  6. Step 6: Final answer
    x = 8,290.39

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Why These Related Problems?

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