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Finding the Fourth Proportional to 11,193.47, 15,447.39 and 6,158.08

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Solution

The fourth proportional to 11,193.47, 15,447.39 and 6,158.08 is: 8,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.47 : 15,447.39 = 6,158.08 : x
  2. Step 2: Convert to fraction form
    11,193.47/15,447.39 = 6,158.08/x
  3. Step 3: Cross multiply
    11,193.47x = 15,447.39 × 6,158.08
  4. Step 4: Simplify right side
    11,193.47x = 95,126,263.41
  5. Step 5: Solve for x
    x = 95,126,263.41/11,193.47
  6. Step 6: Final answer
    x = 8,498.37

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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.