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Finding the Fourth Proportional to 6,116.71, 8,432.88 and 4,861.93

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Solution

The fourth proportional to 6,116.71, 8,432.88 and 4,861.93 is: 6,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.71 : 8,432.88 = 4,861.93 : x
  2. Step 2: Convert to fraction form
    6,116.71/8,432.88 = 4,861.93/x
  3. Step 3: Cross multiply
    6,116.71x = 8,432.88 × 4,861.93
  4. Step 4: Simplify right side
    6,116.71x = 41,000,072.26
  5. Step 5: Solve for x
    x = 41,000,072.26/6,116.71
  6. Step 6: Final answer
    x = 6,702.96

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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.