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Finding the Fourth Proportional to 8,702.34, 13,051.20 and 4,318.62

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Solution

The fourth proportional to 8,702.34, 13,051.20 and 4,318.62 is: 6,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.34 : 13,051.20 = 4,318.62 : x
  2. Step 2: Convert to fraction form
    8,702.34/13,051.20 = 4,318.62/x
  3. Step 3: Cross multiply
    8,702.34x = 13,051.20 × 4,318.62
  4. Step 4: Simplify right side
    8,702.34x = 56,363,173.34
  5. Step 5: Solve for x
    x = 56,363,173.34/8,702.34
  6. Step 6: Final answer
    x = 6,476.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.