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Finding the Fourth Proportional to 7,818.62, 10,789.71 and 4,233.61

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Solution

The fourth proportional to 7,818.62, 10,789.71 and 4,233.61 is: 5,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.62 : 10,789.71 = 4,233.61 : x
  2. Step 2: Convert to fraction form
    7,818.62/10,789.71 = 4,233.61/x
  3. Step 3: Cross multiply
    7,818.62x = 10,789.71 × 4,233.61
  4. Step 4: Simplify right side
    7,818.62x = 45,679,421.76
  5. Step 5: Solve for x
    x = 45,679,421.76/7,818.62
  6. Step 6: Final answer
    x = 5,842.39

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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.