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Finding the Fourth Proportional to 6,289.98, 8,691.12 and 5,170.07

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Solution

The fourth proportional to 6,289.98, 8,691.12 and 5,170.07 is: 7,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.98 : 8,691.12 = 5,170.07 : x
  2. Step 2: Convert to fraction form
    6,289.98/8,691.12 = 5,170.07/x
  3. Step 3: Cross multiply
    6,289.98x = 8,691.12 × 5,170.07
  4. Step 4: Simplify right side
    6,289.98x = 44,933,655.32
  5. Step 5: Solve for x
    x = 44,933,655.32/6,289.98
  6. Step 6: Final answer
    x = 7,143.69

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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.