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Finding the Fourth Proportional to 7,167.38, 10,749.15 and 1,972.02

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Solution

The fourth proportional to 7,167.38, 10,749.15 and 1,972.02 is: 2,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.38 : 10,749.15 = 1,972.02 : x
  2. Step 2: Convert to fraction form
    7,167.38/10,749.15 = 1,972.02/x
  3. Step 3: Cross multiply
    7,167.38x = 10,749.15 × 1,972.02
  4. Step 4: Simplify right side
    7,167.38x = 21,197,538.78
  5. Step 5: Solve for x
    x = 21,197,538.78/7,167.38
  6. Step 6: Final answer
    x = 2,957.50

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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.