Home / 10,823.85-16,234.29-4,254.64

Finding the Fourth Proportional to 10,823.85, 16,234.29 and 4,254.64

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Solution

The fourth proportional to 10,823.85, 16,234.29 and 4,254.64 is: 6,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.85 : 16,234.29 = 4,254.64 : x
  2. Step 2: Convert to fraction form
    10,823.85/16,234.29 = 4,254.64/x
  3. Step 3: Cross multiply
    10,823.85x = 16,234.29 × 4,254.64
  4. Step 4: Simplify right side
    10,823.85x = 69,071,019.02
  5. Step 5: Solve for x
    x = 69,071,019.02/10,823.85
  6. Step 6: Final answer
    x = 6,381.37

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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.