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Finding the Fourth Proportional to 6,840.13, 10,265.19 and 6,431.89

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Solution

The fourth proportional to 6,840.13, 10,265.19 and 6,431.89 is: 9,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.13 : 10,265.19 = 6,431.89 : x
  2. Step 2: Convert to fraction form
    6,840.13/10,265.19 = 6,431.89/x
  3. Step 3: Cross multiply
    6,840.13x = 10,265.19 × 6,431.89
  4. Step 4: Simplify right side
    6,840.13x = 66,024,572.91
  5. Step 5: Solve for x
    x = 66,024,572.91/6,840.13
  6. Step 6: Final answer
    x = 9,652.53

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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.