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Finding the Fourth Proportional to 8,294.74, 11,445.91 and 5,107.52

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Solution

The fourth proportional to 8,294.74, 11,445.91 and 5,107.52 is: 7,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.74 : 11,445.91 = 5,107.52 : x
  2. Step 2: Convert to fraction form
    8,294.74/11,445.91 = 5,107.52/x
  3. Step 3: Cross multiply
    8,294.74x = 11,445.91 × 5,107.52
  4. Step 4: Simplify right side
    8,294.74x = 58,460,230.09
  5. Step 5: Solve for x
    x = 58,460,230.09/8,294.74
  6. Step 6: Final answer
    x = 7,047.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.