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Finding the Fourth Proportional to 10,437.96, 15,656.82 and 5,242.56

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Solution

The fourth proportional to 10,437.96, 15,656.82 and 5,242.56 is: 7,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.96 : 15,656.82 = 5,242.56 : x
  2. Step 2: Convert to fraction form
    10,437.96/15,656.82 = 5,242.56/x
  3. Step 3: Cross multiply
    10,437.96x = 15,656.82 × 5,242.56
  4. Step 4: Simplify right side
    10,437.96x = 82,081,818.26
  5. Step 5: Solve for x
    x = 82,081,818.26/10,437.96
  6. Step 6: Final answer
    x = 7,863.78

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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.