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Finding the Fourth Proportional to 7,582.62, 11,414.88 and 6,819.71

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Solution

The fourth proportional to 7,582.62, 11,414.88 and 6,819.71 is: 10,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.62 : 11,414.88 = 6,819.71 : x
  2. Step 2: Convert to fraction form
    7,582.62/11,414.88 = 6,819.71/x
  3. Step 3: Cross multiply
    7,582.62x = 11,414.88 × 6,819.71
  4. Step 4: Simplify right side
    7,582.62x = 77,846,165.63
  5. Step 5: Solve for x
    x = 77,846,165.63/7,582.62
  6. Step 6: Final answer
    x = 10,266.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.