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Finding the Fourth Proportional to 11,378.48, 15,702.78 and 6,342.70

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Solution

The fourth proportional to 11,378.48, 15,702.78 and 6,342.70 is: 8,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.48 : 15,702.78 = 6,342.70 : x
  2. Step 2: Convert to fraction form
    11,378.48/15,702.78 = 6,342.70/x
  3. Step 3: Cross multiply
    11,378.48x = 15,702.78 × 6,342.70
  4. Step 4: Simplify right side
    11,378.48x = 99,597,944.19
  5. Step 5: Solve for x
    x = 99,597,944.19/11,378.48
  6. Step 6: Final answer
    x = 8,753.19

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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.