Home / 10,306.50-14,222.97-5,830.16

Finding the Fourth Proportional to 10,306.50, 14,222.97 and 5,830.16

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Solution

The fourth proportional to 10,306.50, 14,222.97 and 5,830.16 is: 8,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.50 : 14,222.97 = 5,830.16 : x
  2. Step 2: Convert to fraction form
    10,306.50/14,222.97 = 5,830.16/x
  3. Step 3: Cross multiply
    10,306.50x = 14,222.97 × 5,830.16
  4. Step 4: Simplify right side
    10,306.50x = 82,922,119.66
  5. Step 5: Solve for x
    x = 82,922,119.66/10,306.50
  6. Step 6: Final answer
    x = 8,045.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.