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Finding the Fourth Proportional to 7,502.13, 11,254.87 and 2,822.18

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Solution

The fourth proportional to 7,502.13, 11,254.87 and 2,822.18 is: 4,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.13 : 11,254.87 = 2,822.18 : x
  2. Step 2: Convert to fraction form
    7,502.13/11,254.87 = 2,822.18/x
  3. Step 3: Cross multiply
    7,502.13x = 11,254.87 × 2,822.18
  4. Step 4: Simplify right side
    7,502.13x = 31,763,304.21
  5. Step 5: Solve for x
    x = 31,763,304.21/7,502.13
  6. Step 6: Final answer
    x = 4,233.90

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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.