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Finding the Fourth Proportional to 15,160.50, 22,711.05 and 7,743.06

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Solution

The fourth proportional to 15,160.50, 22,711.05 and 7,743.06 is: 11,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160.50 : 22,711.05 = 7,743.06 : x
  2. Step 2: Convert to fraction form
    15,160.50/22,711.05 = 7,743.06/x
  3. Step 3: Cross multiply
    15,160.50x = 22,711.05 × 7,743.06
  4. Step 4: Simplify right side
    15,160.50x = 175,853,022.81
  5. Step 5: Solve for x
    x = 175,853,022.81/15,160.50
  6. Step 6: Final answer
    x = 11,599.42

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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.