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Finding the Fourth Proportional to 11,378.66, 15,702.30 and 6,342.86

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Solution

The fourth proportional to 11,378.66, 15,702.30 and 6,342.86 is: 8,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.66 : 15,702.30 = 6,342.86 : x
  2. Step 2: Convert to fraction form
    11,378.66/15,702.30 = 6,342.86/x
  3. Step 3: Cross multiply
    11,378.66x = 15,702.30 × 6,342.86
  4. Step 4: Simplify right side
    11,378.66x = 99,597,490.58
  5. Step 5: Solve for x
    x = 99,597,490.58/11,378.66
  6. Step 6: Final answer
    x = 8,753.01

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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.