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Finding the Fourth Proportional to 10,556.88, 15,838.06 and 3,983.12

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Solution

The fourth proportional to 10,556.88, 15,838.06 and 3,983.12 is: 5,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,556.88 : 15,838.06 = 3,983.12 : x
  2. Step 2: Convert to fraction form
    10,556.88/15,838.06 = 3,983.12/x
  3. Step 3: Cross multiply
    10,556.88x = 15,838.06 × 3,983.12
  4. Step 4: Simplify right side
    10,556.88x = 63,084,949.15
  5. Step 5: Solve for x
    x = 63,084,949.15/10,556.88
  6. Step 6: Final answer
    x = 5,975.72

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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.