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Finding the Fourth Proportional to 11,544.71, 17,320.50 and 4,149.81

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Solution

The fourth proportional to 11,544.71, 17,320.50 and 4,149.81 is: 6,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.71 : 17,320.50 = 4,149.81 : x
  2. Step 2: Convert to fraction form
    11,544.71/17,320.50 = 4,149.81/x
  3. Step 3: Cross multiply
    11,544.71x = 17,320.50 × 4,149.81
  4. Step 4: Simplify right side
    11,544.71x = 71,876,784.11
  5. Step 5: Solve for x
    x = 71,876,784.11/11,544.71
  6. Step 6: Final answer
    x = 6,225.95

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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.