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Finding the Fourth Proportional to 5,367.50, 7,403.41 and 5,186.87

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Solution

The fourth proportional to 5,367.50, 7,403.41 and 5,186.87 is: 7,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.50 : 7,403.41 = 5,186.87 : x
  2. Step 2: Convert to fraction form
    5,367.50/7,403.41 = 5,186.87/x
  3. Step 3: Cross multiply
    5,367.50x = 7,403.41 × 5,186.87
  4. Step 4: Simplify right side
    5,367.50x = 38,400,521.04
  5. Step 5: Solve for x
    x = 38,400,521.04/5,367.50
  6. Step 6: Final answer
    x = 7,154.26

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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.