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Finding the Fourth Proportional to 10,927.27, 16,403.06 and 5,660.87

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Solution

The fourth proportional to 10,927.27, 16,403.06 and 5,660.87 is: 8,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.27 : 16,403.06 = 5,660.87 : x
  2. Step 2: Convert to fraction form
    10,927.27/16,403.06 = 5,660.87/x
  3. Step 3: Cross multiply
    10,927.27x = 16,403.06 × 5,660.87
  4. Step 4: Simplify right side
    10,927.27x = 92,855,582.82
  5. Step 5: Solve for x
    x = 92,855,582.82/10,927.27
  6. Step 6: Final answer
    x = 8,497.60

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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.