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Finding the Fourth Proportional to 8,302.86, 12,454.34 and 2,459.52

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Solution

The fourth proportional to 8,302.86, 12,454.34 and 2,459.52 is: 3,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.86 : 12,454.34 = 2,459.52 : x
  2. Step 2: Convert to fraction form
    8,302.86/12,454.34 = 2,459.52/x
  3. Step 3: Cross multiply
    8,302.86x = 12,454.34 × 2,459.52
  4. Step 4: Simplify right side
    8,302.86x = 30,631,686.02
  5. Step 5: Solve for x
    x = 30,631,686.02/8,302.86
  6. Step 6: Final answer
    x = 3,689.29

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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.