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Finding the Fourth Proportional to 10,261.66, 15,394.52 and 3,242.76

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Solution

The fourth proportional to 10,261.66, 15,394.52 and 3,242.76 is: 4,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.66 : 15,394.52 = 3,242.76 : x
  2. Step 2: Convert to fraction form
    10,261.66/15,394.52 = 3,242.76/x
  3. Step 3: Cross multiply
    10,261.66x = 15,394.52 × 3,242.76
  4. Step 4: Simplify right side
    10,261.66x = 49,920,733.68
  5. Step 5: Solve for x
    x = 49,920,733.68/10,261.66
  6. Step 6: Final answer
    x = 4,864.78

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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.