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Finding the Fourth Proportional to 10,285.76, 15,429.02 and 5,286.79

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Solution

The fourth proportional to 10,285.76, 15,429.02 and 5,286.79 is: 7,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.76 : 15,429.02 = 5,286.79 : x
  2. Step 2: Convert to fraction form
    10,285.76/15,429.02 = 5,286.79/x
  3. Step 3: Cross multiply
    10,285.76x = 15,429.02 × 5,286.79
  4. Step 4: Simplify right side
    10,285.76x = 81,569,981.50
  5. Step 5: Solve for x
    x = 81,569,981.50/10,285.76
  6. Step 6: Final answer
    x = 7,930.38

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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.