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Finding the Fourth Proportional to 6,657.80, 9,181.20 and 5,165.18

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Solution

The fourth proportional to 6,657.80, 9,181.20 and 5,165.18 is: 7,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.80 : 9,181.20 = 5,165.18 : x
  2. Step 2: Convert to fraction form
    6,657.80/9,181.20 = 5,165.18/x
  3. Step 3: Cross multiply
    6,657.80x = 9,181.20 × 5,165.18
  4. Step 4: Simplify right side
    6,657.80x = 47,422,504.71
  5. Step 5: Solve for x
    x = 47,422,504.71/6,657.80
  6. Step 6: Final answer
    x = 7,122.85

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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.