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Finding the Fourth Proportional to 7,115.96, 9,822.16 and 4,132.52

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Solution

The fourth proportional to 7,115.96, 9,822.16 and 4,132.52 is: 5,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.96 : 9,822.16 = 4,132.52 : x
  2. Step 2: Convert to fraction form
    7,115.96/9,822.16 = 4,132.52/x
  3. Step 3: Cross multiply
    7,115.96x = 9,822.16 × 4,132.52
  4. Step 4: Simplify right side
    7,115.96x = 40,590,272.64
  5. Step 5: Solve for x
    x = 40,590,272.64/7,115.96
  6. Step 6: Final answer
    x = 5,704.12

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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.