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Finding the Fourth Proportional to 15,052.71, 22,586.81 and 7,164.16

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Solution

The fourth proportional to 15,052.71, 22,586.81 and 7,164.16 is: 10,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,052.71 : 22,586.81 = 7,164.16 : x
  2. Step 2: Convert to fraction form
    15,052.71/22,586.81 = 7,164.16/x
  3. Step 3: Cross multiply
    15,052.71x = 22,586.81 × 7,164.16
  4. Step 4: Simplify right side
    15,052.71x = 161,815,520.73
  5. Step 5: Solve for x
    x = 161,815,520.73/15,052.71
  6. Step 6: Final answer
    x = 10,749.93

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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.