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Finding the Fourth Proportional to 8,541.60, 11,787.17 and 4,764.88

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Solution

The fourth proportional to 8,541.60, 11,787.17 and 4,764.88 is: 6,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.60 : 11,787.17 = 4,764.88 : x
  2. Step 2: Convert to fraction form
    8,541.60/11,787.17 = 4,764.88/x
  3. Step 3: Cross multiply
    8,541.60x = 11,787.17 × 4,764.88
  4. Step 4: Simplify right side
    8,541.60x = 56,164,450.59
  5. Step 5: Solve for x
    x = 56,164,450.59/8,541.60
  6. Step 6: Final answer
    x = 6,575.40

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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.