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Finding the Fourth Proportional to 11,341.62, 15,642.92 and 7,985.39

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Solution

The fourth proportional to 11,341.62, 15,642.92 and 7,985.39 is: 11,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.62 : 15,642.92 = 7,985.39 : x
  2. Step 2: Convert to fraction form
    11,341.62/15,642.92 = 7,985.39/x
  3. Step 3: Cross multiply
    11,341.62x = 15,642.92 × 7,985.39
  4. Step 4: Simplify right side
    11,341.62x = 124,914,758.69
  5. Step 5: Solve for x
    x = 124,914,758.69/11,341.62
  6. Step 6: Final answer
    x = 11,013.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.