Home / 10,823.68-16,234.69-3,803.76

Finding the Fourth Proportional to 10,823.68, 16,234.69 and 3,803.76

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Solution

The fourth proportional to 10,823.68, 16,234.69 and 3,803.76 is: 5,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.68 : 16,234.69 = 3,803.76 : x
  2. Step 2: Convert to fraction form
    10,823.68/16,234.69 = 3,803.76/x
  3. Step 3: Cross multiply
    10,823.68x = 16,234.69 × 3,803.76
  4. Step 4: Simplify right side
    10,823.68x = 61,752,864.43
  5. Step 5: Solve for x
    x = 61,752,864.43/10,823.68
  6. Step 6: Final answer
    x = 5,705.35

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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.