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Finding the Fourth Proportional to 7,566.88, 11,339.82 and 5,716.48

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Solution

The fourth proportional to 7,566.88, 11,339.82 and 5,716.48 is: 8,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.88 : 11,339.82 = 5,716.48 : x
  2. Step 2: Convert to fraction form
    7,566.88/11,339.82 = 5,716.48/x
  3. Step 3: Cross multiply
    7,566.88x = 11,339.82 × 5,716.48
  4. Step 4: Simplify right side
    7,566.88x = 64,823,854.23
  5. Step 5: Solve for x
    x = 64,823,854.23/7,566.88
  6. Step 6: Final answer
    x = 8,566.79

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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.