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Finding the Fourth Proportional to 10,204.66, 15,307.04 and 2,809.90

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Solution

The fourth proportional to 10,204.66, 15,307.04 and 2,809.90 is: 4,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.66 : 15,307.04 = 2,809.90 : x
  2. Step 2: Convert to fraction form
    10,204.66/15,307.04 = 2,809.90/x
  3. Step 3: Cross multiply
    10,204.66x = 15,307.04 × 2,809.90
  4. Step 4: Simplify right side
    10,204.66x = 43,011,251.70
  5. Step 5: Solve for x
    x = 43,011,251.70/10,204.66
  6. Step 6: Final answer
    x = 4,214.86

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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.