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Finding the Fourth Proportional to 10,432.76, 15,633.42 and 6,268.20

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Solution

The fourth proportional to 10,432.76, 15,633.42 and 6,268.20 is: 9,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.76 : 15,633.42 = 6,268.20 : x
  2. Step 2: Convert to fraction form
    10,432.76/15,633.42 = 6,268.20/x
  3. Step 3: Cross multiply
    10,432.76x = 15,633.42 × 6,268.20
  4. Step 4: Simplify right side
    10,432.76x = 97,993,403.24
  5. Step 5: Solve for x
    x = 97,993,403.24/10,432.76
  6. Step 6: Final answer
    x = 9,392.86

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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.