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Finding the Fourth Proportional to 7,236.48, 10,854.78 and 2,306.16

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Solution

The fourth proportional to 7,236.48, 10,854.78 and 2,306.16 is: 3,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236.48 : 10,854.78 = 2,306.16 : x
  2. Step 2: Convert to fraction form
    7,236.48/10,854.78 = 2,306.16/x
  3. Step 3: Cross multiply
    7,236.48x = 10,854.78 × 2,306.16
  4. Step 4: Simplify right side
    7,236.48x = 25,032,859.44
  5. Step 5: Solve for x
    x = 25,032,859.44/7,236.48
  6. Step 6: Final answer
    x = 3,459.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.