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Finding the Fourth Proportional to 10,632.92, 15,957.81 and 5,952.06

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Solution

The fourth proportional to 10,632.92, 15,957.81 and 5,952.06 is: 8,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.92 : 15,957.81 = 5,952.06 : x
  2. Step 2: Convert to fraction form
    10,632.92/15,957.81 = 5,952.06/x
  3. Step 3: Cross multiply
    10,632.92x = 15,957.81 × 5,952.06
  4. Step 4: Simplify right side
    10,632.92x = 94,981,797.71
  5. Step 5: Solve for x
    x = 94,981,797.71/10,632.92
  6. Step 6: Final answer
    x = 8,932.80

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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.