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Finding the Fourth Proportional to 7,348.92, 11,023.47 and 2,154.90

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Solution

The fourth proportional to 7,348.92, 11,023.47 and 2,154.90 is: 3,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.92 : 11,023.47 = 2,154.90 : x
  2. Step 2: Convert to fraction form
    7,348.92/11,023.47 = 2,154.90/x
  3. Step 3: Cross multiply
    7,348.92x = 11,023.47 × 2,154.90
  4. Step 4: Simplify right side
    7,348.92x = 23,754,475.50
  5. Step 5: Solve for x
    x = 23,754,475.50/7,348.92
  6. Step 6: Final answer
    x = 3,232.38

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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.