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Finding the Fourth Proportional to 6,862.68, 10,291.32 and 2,420.10

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Solution

The fourth proportional to 6,862.68, 10,291.32 and 2,420.10 is: 3,629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.68 : 10,291.32 = 2,420.10 : x
  2. Step 2: Convert to fraction form
    6,862.68/10,291.32 = 2,420.10/x
  3. Step 3: Cross multiply
    6,862.68x = 10,291.32 × 2,420.10
  4. Step 4: Simplify right side
    6,862.68x = 24,906,023.53
  5. Step 5: Solve for x
    x = 24,906,023.53/6,862.68
  6. Step 6: Final answer
    x = 3,629.20

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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.