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Finding the Fourth Proportional to 8,491.83, 11,714.66 and 5,087.20

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Solution

The fourth proportional to 8,491.83, 11,714.66 and 5,087.20 is: 7,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.83 : 11,714.66 = 5,087.20 : x
  2. Step 2: Convert to fraction form
    8,491.83/11,714.66 = 5,087.20/x
  3. Step 3: Cross multiply
    8,491.83x = 11,714.66 × 5,087.20
  4. Step 4: Simplify right side
    8,491.83x = 59,594,759.78
  5. Step 5: Solve for x
    x = 59,594,759.78/8,491.83
  6. Step 6: Final answer
    x = 7,017.89

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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.