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Finding the Fourth Proportional to 8,289.29, 12,435.91 and 2,445.91

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Solution

The fourth proportional to 8,289.29, 12,435.91 and 2,445.91 is: 3,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.29 : 12,435.91 = 2,445.91 : x
  2. Step 2: Convert to fraction form
    8,289.29/12,435.91 = 2,445.91/x
  3. Step 3: Cross multiply
    8,289.29x = 12,435.91 × 2,445.91
  4. Step 4: Simplify right side
    8,289.29x = 30,417,079.42
  5. Step 5: Solve for x
    x = 30,417,079.42/8,289.29
  6. Step 6: Final answer
    x = 3,669.44

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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.