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Finding the Fourth Proportional to 10,055.80, 15,083.16 and 2,660.50

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Solution

The fourth proportional to 10,055.80, 15,083.16 and 2,660.50 is: 3,990.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,055.80 : 15,083.16 = 2,660.50 : x
  2. Step 2: Convert to fraction form
    10,055.80/15,083.16 = 2,660.50/x
  3. Step 3: Cross multiply
    10,055.80x = 15,083.16 × 2,660.50
  4. Step 4: Simplify right side
    10,055.80x = 40,128,747.18
  5. Step 5: Solve for x
    x = 40,128,747.18/10,055.80
  6. Step 6: Final answer
    x = 3,990.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.