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Finding the Fourth Proportional to 7,829.84, 10,805.18 and 4,293.38

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Solution

The fourth proportional to 7,829.84, 10,805.18 and 4,293.38 is: 5,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.84 : 10,805.18 = 4,293.38 : x
  2. Step 2: Convert to fraction form
    7,829.84/10,805.18 = 4,293.38/x
  3. Step 3: Cross multiply
    7,829.84x = 10,805.18 × 4,293.38
  4. Step 4: Simplify right side
    7,829.84x = 46,390,668.22
  5. Step 5: Solve for x
    x = 46,390,668.22/7,829.84
  6. Step 6: Final answer
    x = 5,924.86

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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.