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Finding the Fourth Proportional to 8,569.62, 11,818.17 and 6,580.26

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Solution

The fourth proportional to 8,569.62, 11,818.17 and 6,580.26 is: 9,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.62 : 11,818.17 = 6,580.26 : x
  2. Step 2: Convert to fraction form
    8,569.62/11,818.17 = 6,580.26/x
  3. Step 3: Cross multiply
    8,569.62x = 11,818.17 × 6,580.26
  4. Step 4: Simplify right side
    8,569.62x = 77,766,631.32
  5. Step 5: Solve for x
    x = 77,766,631.32/8,569.62
  6. Step 6: Final answer
    x = 9,074.69

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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.