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Finding the Fourth Proportional to 7,241.13, 10,854.50 and 4,114.67

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Solution

The fourth proportional to 7,241.13, 10,854.50 and 4,114.67 is: 6,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.13 : 10,854.50 = 4,114.67 : x
  2. Step 2: Convert to fraction form
    7,241.13/10,854.50 = 4,114.67/x
  3. Step 3: Cross multiply
    7,241.13x = 10,854.50 × 4,114.67
  4. Step 4: Simplify right side
    7,241.13x = 44,662,610.67
  5. Step 5: Solve for x
    x = 44,662,610.67/7,241.13
  6. Step 6: Final answer
    x = 6,167.91

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Why These Related Problems?

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