Home / 7,829.15-11,743.74-2,282.63

Finding the Fourth Proportional to 7,829.15, 11,743.74 and 2,282.63

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Solution

The fourth proportional to 7,829.15, 11,743.74 and 2,282.63 is: 3,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.15 : 11,743.74 = 2,282.63 : x
  2. Step 2: Convert to fraction form
    7,829.15/11,743.74 = 2,282.63/x
  3. Step 3: Cross multiply
    7,829.15x = 11,743.74 × 2,282.63
  4. Step 4: Simplify right side
    7,829.15x = 26,806,554.52
  5. Step 5: Solve for x
    x = 26,806,554.52/7,829.15
  6. Step 6: Final answer
    x = 3,423.94

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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.