Home / 7,830.28-11,744.29-2,282.14

Finding the Fourth Proportional to 7,830.28, 11,744.29 and 2,282.14

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Solution

The fourth proportional to 7,830.28, 11,744.29 and 2,282.14 is: 3,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.28 : 11,744.29 = 2,282.14 : x
  2. Step 2: Convert to fraction form
    7,830.28/11,744.29 = 2,282.14/x
  3. Step 3: Cross multiply
    7,830.28x = 11,744.29 × 2,282.14
  4. Step 4: Simplify right side
    7,830.28x = 26,802,088.86
  5. Step 5: Solve for x
    x = 26,802,088.86/7,830.28
  6. Step 6: Final answer
    x = 3,422.88

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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.