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Finding the Fourth Proportional to 8,291.10, 12,439.89 and 3,097.38

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Solution

The fourth proportional to 8,291.10, 12,439.89 and 3,097.38 is: 4,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.10 : 12,439.89 = 3,097.38 : x
  2. Step 2: Convert to fraction form
    8,291.10/12,439.89 = 3,097.38/x
  3. Step 3: Cross multiply
    8,291.10x = 12,439.89 × 3,097.38
  4. Step 4: Simplify right side
    8,291.10x = 38,531,066.49
  5. Step 5: Solve for x
    x = 38,531,066.49/8,291.10
  6. Step 6: Final answer
    x = 4,647.28

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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.