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Finding the Fourth Proportional to 10,910.22, 15,055.65 and 6,194.76

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Solution

The fourth proportional to 10,910.22, 15,055.65 and 6,194.76 is: 8,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.22 : 15,055.65 = 6,194.76 : x
  2. Step 2: Convert to fraction form
    10,910.22/15,055.65 = 6,194.76/x
  3. Step 3: Cross multiply
    10,910.22x = 15,055.65 × 6,194.76
  4. Step 4: Simplify right side
    10,910.22x = 93,266,138.39
  5. Step 5: Solve for x
    x = 93,266,138.39/10,910.22
  6. Step 6: Final answer
    x = 8,548.51

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