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Finding the Fourth Proportional to 7,151.06, 10,729.02 and 2,221.40

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Solution

The fourth proportional to 7,151.06, 10,729.02 and 2,221.40 is: 3,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.06 : 10,729.02 = 2,221.40 : x
  2. Step 2: Convert to fraction form
    7,151.06/10,729.02 = 2,221.40/x
  3. Step 3: Cross multiply
    7,151.06x = 10,729.02 × 2,221.40
  4. Step 4: Simplify right side
    7,151.06x = 23,833,445.03
  5. Step 5: Solve for x
    x = 23,833,445.03/7,151.06
  6. Step 6: Final answer
    x = 3,332.85

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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.