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Finding the Fourth Proportional to 7,100.85, 9,799.18 and 4,118.42

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Solution

The fourth proportional to 7,100.85, 9,799.18 and 4,118.42 is: 5,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.85 : 9,799.18 = 4,118.42 : x
  2. Step 2: Convert to fraction form
    7,100.85/9,799.18 = 4,118.42/x
  3. Step 3: Cross multiply
    7,100.85x = 9,799.18 × 4,118.42
  4. Step 4: Simplify right side
    7,100.85x = 40,357,138.90
  5. Step 5: Solve for x
    x = 40,357,138.90/7,100.85
  6. Step 6: Final answer
    x = 5,683.42

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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.