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Finding the Fourth Proportional to 7,100.58, 9,798.26 and 4,116.82

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Solution

The fourth proportional to 7,100.58, 9,798.26 and 4,116.82 is: 5,680.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.58 : 9,798.26 = 4,116.82 : x
  2. Step 2: Convert to fraction form
    7,100.58/9,798.26 = 4,116.82/x
  3. Step 3: Cross multiply
    7,100.58x = 9,798.26 × 4,116.82
  4. Step 4: Simplify right side
    7,100.58x = 40,337,672.73
  5. Step 5: Solve for x
    x = 40,337,672.73/7,100.58
  6. Step 6: Final answer
    x = 5,680.90

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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.