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Finding the Fourth Proportional to 10,202.98, 15,272.66 and 7,856.89

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Solution

The fourth proportional to 10,202.98, 15,272.66 and 7,856.89 is: 11,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.98 : 15,272.66 = 7,856.89 : x
  2. Step 2: Convert to fraction form
    10,202.98/15,272.66 = 7,856.89/x
  3. Step 3: Cross multiply
    10,202.98x = 15,272.66 × 7,856.89
  4. Step 4: Simplify right side
    10,202.98x = 119,995,609.63
  5. Step 5: Solve for x
    x = 119,995,609.63/10,202.98
  6. Step 6: Final answer
    x = 11,760.84

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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.