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Finding the Fourth Proportional to 8,291.35, 11,456.63 and 6,626.50

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Solution

The fourth proportional to 8,291.35, 11,456.63 and 6,626.50 is: 9,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.35 : 11,456.63 = 6,626.50 : x
  2. Step 2: Convert to fraction form
    8,291.35/11,456.63 = 6,626.50/x
  3. Step 3: Cross multiply
    8,291.35x = 11,456.63 × 6,626.50
  4. Step 4: Simplify right side
    8,291.35x = 75,917,358.70
  5. Step 5: Solve for x
    x = 75,917,358.70/8,291.35
  6. Step 6: Final answer
    x = 9,156.21

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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.