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Finding the Fourth Proportional to 7,449.92, 11,164.50 and 5,598.87

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Solution

The fourth proportional to 7,449.92, 11,164.50 and 5,598.87 is: 8,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.92 : 11,164.50 = 5,598.87 : x
  2. Step 2: Convert to fraction form
    7,449.92/11,164.50 = 5,598.87/x
  3. Step 3: Cross multiply
    7,449.92x = 11,164.50 × 5,598.87
  4. Step 4: Simplify right side
    7,449.92x = 62,508,581.43
  5. Step 5: Solve for x
    x = 62,508,581.43/7,449.92
  6. Step 6: Final answer
    x = 8,390.50

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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.