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Finding the Fourth Proportional to 6,007.80, 8,291.28 and 5,537.16

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Solution

The fourth proportional to 6,007.80, 8,291.28 and 5,537.16 is: 7,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.80 : 8,291.28 = 5,537.16 : x
  2. Step 2: Convert to fraction form
    6,007.80/8,291.28 = 5,537.16/x
  3. Step 3: Cross multiply
    6,007.80x = 8,291.28 × 5,537.16
  4. Step 4: Simplify right side
    6,007.80x = 45,910,143.96
  5. Step 5: Solve for x
    x = 45,910,143.96/6,007.80
  6. Step 6: Final answer
    x = 7,641.76

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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.