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Finding the Fourth Proportional to 8,397.90, 11,582.82 and 6,159.06

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Solution

The fourth proportional to 8,397.90, 11,582.82 and 6,159.06 is: 8,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.90 : 11,582.82 = 6,159.06 : x
  2. Step 2: Convert to fraction form
    8,397.90/11,582.82 = 6,159.06/x
  3. Step 3: Cross multiply
    8,397.90x = 11,582.82 × 6,159.06
  4. Step 4: Simplify right side
    8,397.90x = 71,339,283.35
  5. Step 5: Solve for x
    x = 71,339,283.35/8,397.90
  6. Step 6: Final answer
    x = 8,494.90

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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.