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Finding the Fourth Proportional to 10,556.78, 15,838.20 and 6,338.90

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Solution

The fourth proportional to 10,556.78, 15,838.20 and 6,338.90 is: 9,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.78 : 15,838.20 = 6,338.90 : x
  2. Step 2: Convert to fraction form
    10,556.78/15,838.20 = 6,338.90/x
  3. Step 3: Cross multiply
    10,556.78x = 15,838.20 × 6,338.90
  4. Step 4: Simplify right side
    10,556.78x = 100,396,805.58
  5. Step 5: Solve for x
    x = 100,396,805.58/10,556.78
  6. Step 6: Final answer
    x = 9,510.18

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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.