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Finding the Fourth Proportional to 7,839.76, 10,818.86 and 4,302.98

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Solution

The fourth proportional to 7,839.76, 10,818.86 and 4,302.98 is: 5,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.76 : 10,818.86 = 4,302.98 : x
  2. Step 2: Convert to fraction form
    7,839.76/10,818.86 = 4,302.98/x
  3. Step 3: Cross multiply
    7,839.76x = 10,818.86 × 4,302.98
  4. Step 4: Simplify right side
    7,839.76x = 46,553,338.20
  5. Step 5: Solve for x
    x = 46,553,338.20/7,839.76
  6. Step 6: Final answer
    x = 5,938.11

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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.