Home / 7,834.14-11,751.49-2,569.28

Finding the Fourth Proportional to 7,834.14, 11,751.49 and 2,569.28

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Solution

The fourth proportional to 7,834.14, 11,751.49 and 2,569.28 is: 3,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.14 : 11,751.49 = 2,569.28 : x
  2. Step 2: Convert to fraction form
    7,834.14/11,751.49 = 2,569.28/x
  3. Step 3: Cross multiply
    7,834.14x = 11,751.49 × 2,569.28
  4. Step 4: Simplify right side
    7,834.14x = 30,192,812.68
  5. Step 5: Solve for x
    x = 30,192,812.68/7,834.14
  6. Step 6: Final answer
    x = 3,854.00

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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.