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Finding the Fourth Proportional to 11,377.89, 15,702.64 and 6,342.93

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Solution

The fourth proportional to 11,377.89, 15,702.64 and 6,342.93 is: 8,753.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.89 : 15,702.64 = 6,342.93 : x
  2. Step 2: Convert to fraction form
    11,377.89/15,702.64 = 6,342.93/x
  3. Step 3: Cross multiply
    11,377.89x = 15,702.64 × 6,342.93
  4. Step 4: Simplify right side
    11,377.89x = 99,600,730.48
  5. Step 5: Solve for x
    x = 99,600,730.48/11,377.89
  6. Step 6: Final answer
    x = 8,753.88

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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.