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Finding the Fourth Proportional to 8,394.74, 12,590.31 and 3,463.10

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Solution

The fourth proportional to 8,394.74, 12,590.31 and 3,463.10 is: 5,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.74 : 12,590.31 = 3,463.10 : x
  2. Step 2: Convert to fraction form
    8,394.74/12,590.31 = 3,463.10/x
  3. Step 3: Cross multiply
    8,394.74x = 12,590.31 × 3,463.10
  4. Step 4: Simplify right side
    8,394.74x = 43,601,502.56
  5. Step 5: Solve for x
    x = 43,601,502.56/8,394.74
  6. Step 6: Final answer
    x = 5,193.91

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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.