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Finding the Fourth Proportional to 7,882.88, 11,825.01 and 2,260.58

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Solution

The fourth proportional to 7,882.88, 11,825.01 and 2,260.58 is: 3,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.88 : 11,825.01 = 2,260.58 : x
  2. Step 2: Convert to fraction form
    7,882.88/11,825.01 = 2,260.58/x
  3. Step 3: Cross multiply
    7,882.88x = 11,825.01 × 2,260.58
  4. Step 4: Simplify right side
    7,882.88x = 26,731,381.11
  5. Step 5: Solve for x
    x = 26,731,381.11/7,882.88
  6. Step 6: Final answer
    x = 3,391.07

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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.