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Finding the Fourth Proportional to 8,291.16, 11,442 and 4,755.48

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Solution

The fourth proportional to 8,291.16, 11,442 and 4,755.48 is: 6,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.16 : 11,442 = 4,755.48 : x
  2. Step 2: Convert to fraction form
    8,291.16/11,442 = 4,755.48/x
  3. Step 3: Cross multiply
    8,291.16x = 11,442 × 4,755.48
  4. Step 4: Simplify right side
    8,291.16x = 54,412,202.16
  5. Step 5: Solve for x
    x = 54,412,202.16/8,291.16
  6. Step 6: Final answer
    x = 6,562.68

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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.