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Finding the Fourth Proportional to 6,862.60, 10,294.62 and 4,263.40

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Solution

The fourth proportional to 6,862.60, 10,294.62 and 4,263.40 is: 6,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.60 : 10,294.62 = 4,263.40 : x
  2. Step 2: Convert to fraction form
    6,862.60/10,294.62 = 4,263.40/x
  3. Step 3: Cross multiply
    6,862.60x = 10,294.62 × 4,263.40
  4. Step 4: Simplify right side
    6,862.60x = 43,890,082.91
  5. Step 5: Solve for x
    x = 43,890,082.91/6,862.60
  6. Step 6: Final answer
    x = 6,395.55

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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.