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Finding the Fourth Proportional to 10,204.88, 15,306.42 and 2,809.10

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Solution

The fourth proportional to 10,204.88, 15,306.42 and 2,809.10 is: 4,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.88 : 15,306.42 = 2,809.10 : x
  2. Step 2: Convert to fraction form
    10,204.88/15,306.42 = 2,809.10/x
  3. Step 3: Cross multiply
    10,204.88x = 15,306.42 × 2,809.10
  4. Step 4: Simplify right side
    10,204.88x = 42,997,264.42
  5. Step 5: Solve for x
    x = 42,997,264.42/10,204.88
  6. Step 6: Final answer
    x = 4,213.40

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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.