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Finding the Fourth Proportional to 11,445.71, 17,168.56 and 4,867.70

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Solution

The fourth proportional to 11,445.71, 17,168.56 and 4,867.70 is: 7,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.71 : 17,168.56 = 4,867.70 : x
  2. Step 2: Convert to fraction form
    11,445.71/17,168.56 = 4,867.70/x
  3. Step 3: Cross multiply
    11,445.71x = 17,168.56 × 4,867.70
  4. Step 4: Simplify right side
    11,445.71x = 83,571,301.50
  5. Step 5: Solve for x
    x = 83,571,301.50/11,445.71
  6. Step 6: Final answer
    x = 7,301.54

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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.