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Finding the Fourth Proportional to 7,177.09, 10,765.34 and 2,498.17

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Solution

The fourth proportional to 7,177.09, 10,765.34 and 2,498.17 is: 3,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.09 : 10,765.34 = 2,498.17 : x
  2. Step 2: Convert to fraction form
    7,177.09/10,765.34 = 2,498.17/x
  3. Step 3: Cross multiply
    7,177.09x = 10,765.34 × 2,498.17
  4. Step 4: Simplify right side
    7,177.09x = 26,893,649.43
  5. Step 5: Solve for x
    x = 26,893,649.43/7,177.09
  6. Step 6: Final answer
    x = 3,747.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.