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Finding the Fourth Proportional to 8,209.40, 12,316.13 and 2,366.47

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Solution

The fourth proportional to 8,209.40, 12,316.13 and 2,366.47 is: 3,550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.40 : 12,316.13 = 2,366.47 : x
  2. Step 2: Convert to fraction form
    8,209.40/12,316.13 = 2,366.47/x
  3. Step 3: Cross multiply
    8,209.40x = 12,316.13 × 2,366.47
  4. Step 4: Simplify right side
    8,209.40x = 29,145,678.75
  5. Step 5: Solve for x
    x = 29,145,678.75/8,209.40
  6. Step 6: Final answer
    x = 3,550.28

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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.