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Finding the Fourth Proportional to 6,605.12, 9,116.16 and 5,030.24

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Solution

The fourth proportional to 6,605.12, 9,116.16 and 5,030.24 is: 6,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.12 : 9,116.16 = 5,030.24 : x
  2. Step 2: Convert to fraction form
    6,605.12/9,116.16 = 5,030.24/x
  3. Step 3: Cross multiply
    6,605.12x = 9,116.16 × 5,030.24
  4. Step 4: Simplify right side
    6,605.12x = 45,856,472.68
  5. Step 5: Solve for x
    x = 45,856,472.68/6,605.12
  6. Step 6: Final answer
    x = 6,942.56

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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.