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Finding the Fourth Proportional to 7,885.25, 11,828.17 and 2,041.87

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Solution

The fourth proportional to 7,885.25, 11,828.17 and 2,041.87 is: 3,062.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.25 : 11,828.17 = 2,041.87 : x
  2. Step 2: Convert to fraction form
    7,885.25/11,828.17 = 2,041.87/x
  3. Step 3: Cross multiply
    7,885.25x = 11,828.17 × 2,041.87
  4. Step 4: Simplify right side
    7,885.25x = 24,151,585.48
  5. Step 5: Solve for x
    x = 24,151,585.48/7,885.25
  6. Step 6: Final answer
    x = 3,062.88

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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.