Home / 10,823.18-16,226.84-3,423.50

Finding the Fourth Proportional to 10,823.18, 16,226.84 and 3,423.50

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Solution

The fourth proportional to 10,823.18, 16,226.84 and 3,423.50 is: 5,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.18 : 16,226.84 = 3,423.50 : x
  2. Step 2: Convert to fraction form
    10,823.18/16,226.84 = 3,423.50/x
  3. Step 3: Cross multiply
    10,823.18x = 16,226.84 × 3,423.50
  4. Step 4: Simplify right side
    10,823.18x = 55,552,514.16
  5. Step 5: Solve for x
    x = 55,552,514.16/10,823.18
  6. Step 6: Final answer
    x = 5,132.74

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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.