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Finding the Fourth Proportional to 7,839.30, 10,818 and 4,302.39

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Solution

The fourth proportional to 7,839.30, 10,818 and 4,302.39 is: 5,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.30 : 10,818 = 4,302.39 : x
  2. Step 2: Convert to fraction form
    7,839.30/10,818 = 4,302.39/x
  3. Step 3: Cross multiply
    7,839.30x = 10,818 × 4,302.39
  4. Step 4: Simplify right side
    7,839.30x = 46,543,255.02
  5. Step 5: Solve for x
    x = 46,543,255.02/7,839.30
  6. Step 6: Final answer
    x = 5,937.17

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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.