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Finding the Fourth Proportional to 8,290.70, 12,434.42 and 2,445.74

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Solution

The fourth proportional to 8,290.70, 12,434.42 and 2,445.74 is: 3,668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.70 : 12,434.42 = 2,445.74 : x
  2. Step 2: Convert to fraction form
    8,290.70/12,434.42 = 2,445.74/x
  3. Step 3: Cross multiply
    8,290.70x = 12,434.42 × 2,445.74
  4. Step 4: Simplify right side
    8,290.70x = 30,411,296.20
  5. Step 5: Solve for x
    x = 30,411,296.20/8,290.70
  6. Step 6: Final answer
    x = 3,668.12

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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.