Home / 7,882-11,823.18-2,335.24

Finding the Fourth Proportional to 7,882, 11,823.18 and 2,335.24

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Solution

The fourth proportional to 7,882, 11,823.18 and 2,335.24 is: 3,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882 : 11,823.18 = 2,335.24 : x
  2. Step 2: Convert to fraction form
    7,882/11,823.18 = 2,335.24/x
  3. Step 3: Cross multiply
    7,882x = 11,823.18 × 2,335.24
  4. Step 4: Simplify right side
    7,882x = 27,609,962.86
  5. Step 5: Solve for x
    x = 27,609,962.86/7,882
  6. Step 6: Final answer
    x = 3,502.91

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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.