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Finding the Fourth Proportional to 6,314.31, 8,706.87 and 5,801.58

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Solution

The fourth proportional to 6,314.31, 8,706.87 and 5,801.58 is: 7,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.31 : 8,706.87 = 5,801.58 : x
  2. Step 2: Convert to fraction form
    6,314.31/8,706.87 = 5,801.58/x
  3. Step 3: Cross multiply
    6,314.31x = 8,706.87 × 5,801.58
  4. Step 4: Simplify right side
    6,314.31x = 50,513,602.85
  5. Step 5: Solve for x
    x = 50,513,602.85/6,314.31
  6. Step 6: Final answer
    x = 7,999.86

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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.