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Finding the Fourth Proportional to 10,272.78, 15,406.08 and 5,339.73

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Solution

The fourth proportional to 10,272.78, 15,406.08 and 5,339.73 is: 8,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.78 : 15,406.08 = 5,339.73 : x
  2. Step 2: Convert to fraction form
    10,272.78/15,406.08 = 5,339.73/x
  3. Step 3: Cross multiply
    10,272.78x = 15,406.08 × 5,339.73
  4. Step 4: Simplify right side
    10,272.78x = 82,264,307.56
  5. Step 5: Solve for x
    x = 82,264,307.56/10,272.78
  6. Step 6: Final answer
    x = 8,007.99

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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.