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Finding the Fourth Proportional to 10,521.43, 15,786.78 and 8,177.93

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Solution

The fourth proportional to 10,521.43, 15,786.78 and 8,177.93 is: 12,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.43 : 15,786.78 = 8,177.93 : x
  2. Step 2: Convert to fraction form
    10,521.43/15,786.78 = 8,177.93/x
  3. Step 3: Cross multiply
    10,521.43x = 15,786.78 × 8,177.93
  4. Step 4: Simplify right side
    10,521.43x = 129,103,177.37
  5. Step 5: Solve for x
    x = 129,103,177.37/10,521.43
  6. Step 6: Final answer
    x = 12,270.50

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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.