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Finding the Fourth Proportional to 7,716.77, 11,542.19 and 6,442.58

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Solution

The fourth proportional to 7,716.77, 11,542.19 and 6,442.58 is: 9,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.77 : 11,542.19 = 6,442.58 : x
  2. Step 2: Convert to fraction form
    7,716.77/11,542.19 = 6,442.58/x
  3. Step 3: Cross multiply
    7,716.77x = 11,542.19 × 6,442.58
  4. Step 4: Simplify right side
    7,716.77x = 74,361,440.85
  5. Step 5: Solve for x
    x = 74,361,440.85/7,716.77
  6. Step 6: Final answer
    x = 9,636.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.