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Finding the Fourth Proportional to 8,470.85, 11,691.72 and 5,638.34

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Solution

The fourth proportional to 8,470.85, 11,691.72 and 5,638.34 is: 7,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.85 : 11,691.72 = 5,638.34 : x
  2. Step 2: Convert to fraction form
    8,470.85/11,691.72 = 5,638.34/x
  3. Step 3: Cross multiply
    8,470.85x = 11,691.72 × 5,638.34
  4. Step 4: Simplify right side
    8,470.85x = 65,921,855.23
  5. Step 5: Solve for x
    x = 65,921,855.23/8,470.85
  6. Step 6: Final answer
    x = 7,782.20

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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.