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Finding the Fourth Proportional to 8,289.39, 12,434.12 and 3,359.13

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Solution

The fourth proportional to 8,289.39, 12,434.12 and 3,359.13 is: 5,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.39 : 12,434.12 = 3,359.13 : x
  2. Step 2: Convert to fraction form
    8,289.39/12,434.12 = 3,359.13/x
  3. Step 3: Cross multiply
    8,289.39x = 12,434.12 × 3,359.13
  4. Step 4: Simplify right side
    8,289.39x = 41,767,763.35
  5. Step 5: Solve for x
    x = 41,767,763.35/8,289.39
  6. Step 6: Final answer
    x = 5,038.70

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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.