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Finding the Fourth Proportional to 10,294.02, 15,441 and 2,502.78

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Solution

The fourth proportional to 10,294.02, 15,441 and 2,502.78 is: 3,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.02 : 15,441 = 2,502.78 : x
  2. Step 2: Convert to fraction form
    10,294.02/15,441 = 2,502.78/x
  3. Step 3: Cross multiply
    10,294.02x = 15,441 × 2,502.78
  4. Step 4: Simplify right side
    10,294.02x = 38,645,425.98
  5. Step 5: Solve for x
    x = 38,645,425.98/10,294.02
  6. Step 6: Final answer
    x = 3,754.16

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Why These Related Problems?

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