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Finding the Fourth Proportional to 10,548.78, 15,813.02 and 3,881.66

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Solution

The fourth proportional to 10,548.78, 15,813.02 and 3,881.66 is: 5,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.78 : 15,813.02 = 3,881.66 : x
  2. Step 2: Convert to fraction form
    10,548.78/15,813.02 = 3,881.66/x
  3. Step 3: Cross multiply
    10,548.78x = 15,813.02 × 3,881.66
  4. Step 4: Simplify right side
    10,548.78x = 61,380,767.21
  5. Step 5: Solve for x
    x = 61,380,767.21/10,548.78
  6. Step 6: Final answer
    x = 5,818.76

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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.