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Finding the Fourth Proportional to 7,839.66, 10,819.02 and 4,302.84

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Solution

The fourth proportional to 7,839.66, 10,819.02 and 4,302.84 is: 5,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.66 : 10,819.02 = 4,302.84 : x
  2. Step 2: Convert to fraction form
    7,839.66/10,819.02 = 4,302.84/x
  3. Step 3: Cross multiply
    7,839.66x = 10,819.02 × 4,302.84
  4. Step 4: Simplify right side
    7,839.66x = 46,552,512.02
  5. Step 5: Solve for x
    x = 46,552,512.02/7,839.66
  6. Step 6: Final answer
    x = 5,938.08

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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.