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Finding the Fourth Proportional to 10,294.02, 15,440.94 and 2,502.84

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Solution

The fourth proportional to 10,294.02, 15,440.94 and 2,502.84 is: 3,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.02 : 15,440.94 = 2,502.84 : x
  2. Step 2: Convert to fraction form
    10,294.02/15,440.94 = 2,502.84/x
  3. Step 3: Cross multiply
    10,294.02x = 15,440.94 × 2,502.84
  4. Step 4: Simplify right side
    10,294.02x = 38,646,202.27
  5. Step 5: Solve for x
    x = 38,646,202.27/10,294.02
  6. Step 6: Final answer
    x = 3,754.24

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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.