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Finding the Fourth Proportional to 7,302.92, 10,956.02 and 2,109.20

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Solution

The fourth proportional to 7,302.92, 10,956.02 and 2,109.20 is: 3,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.92 : 10,956.02 = 2,109.20 : x
  2. Step 2: Convert to fraction form
    7,302.92/10,956.02 = 2,109.20/x
  3. Step 3: Cross multiply
    7,302.92x = 10,956.02 × 2,109.20
  4. Step 4: Simplify right side
    7,302.92x = 23,108,437.38
  5. Step 5: Solve for x
    x = 23,108,437.38/7,302.92
  6. Step 6: Final answer
    x = 3,164.27

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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.