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Finding the Fourth Proportional to 11,894.47, 17,841.87 and 5,655.12

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Solution

The fourth proportional to 11,894.47, 17,841.87 and 5,655.12 is: 8,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.47 : 17,841.87 = 5,655.12 : x
  2. Step 2: Convert to fraction form
    11,894.47/17,841.87 = 5,655.12/x
  3. Step 3: Cross multiply
    11,894.47x = 17,841.87 × 5,655.12
  4. Step 4: Simplify right side
    11,894.47x = 100,897,848.97
  5. Step 5: Solve for x
    x = 100,897,848.97/11,894.47
  6. Step 6: Final answer
    x = 8,482.75

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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.