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Finding the Fourth Proportional to 8,531.34, 11,772.80 and 4,702.86

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Solution

The fourth proportional to 8,531.34, 11,772.80 and 4,702.86 is: 6,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.34 : 11,772.80 = 4,702.86 : x
  2. Step 2: Convert to fraction form
    8,531.34/11,772.80 = 4,702.86/x
  3. Step 3: Cross multiply
    8,531.34x = 11,772.80 × 4,702.86
  4. Step 4: Simplify right side
    8,531.34x = 55,365,806.69
  5. Step 5: Solve for x
    x = 55,365,806.69/8,531.34
  6. Step 6: Final answer
    x = 6,489.70

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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.