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Finding the Fourth Proportional to 10,870.92, 16,236.24 and 10,794.76

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Solution

The fourth proportional to 10,870.92, 16,236.24 and 10,794.76 is: 16,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.92 : 16,236.24 = 10,794.76 : x
  2. Step 2: Convert to fraction form
    10,870.92/16,236.24 = 10,794.76/x
  3. Step 3: Cross multiply
    10,870.92x = 16,236.24 × 10,794.76
  4. Step 4: Simplify right side
    10,870.92x = 175,266,314.10
  5. Step 5: Solve for x
    x = 175,266,314.10/10,870.92
  6. Step 6: Final answer
    x = 16,122.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.