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Finding the Fourth Proportional to 7,299.48, 10,958.34 and 4,949.83

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Solution

The fourth proportional to 7,299.48, 10,958.34 and 4,949.83 is: 7,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.48 : 10,958.34 = 4,949.83 : x
  2. Step 2: Convert to fraction form
    7,299.48/10,958.34 = 4,949.83/x
  3. Step 3: Cross multiply
    7,299.48x = 10,958.34 × 4,949.83
  4. Step 4: Simplify right side
    7,299.48x = 54,241,862.86
  5. Step 5: Solve for x
    x = 54,241,862.86/7,299.48
  6. Step 6: Final answer
    x = 7,430.92

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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.