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Finding the Fourth Proportional to 7,723.14, 11,584.71 and 5,424.90

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Solution

The fourth proportional to 7,723.14, 11,584.71 and 5,424.90 is: 8,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.14 : 11,584.71 = 5,424.90 : x
  2. Step 2: Convert to fraction form
    7,723.14/11,584.71 = 5,424.90/x
  3. Step 3: Cross multiply
    7,723.14x = 11,584.71 × 5,424.90
  4. Step 4: Simplify right side
    7,723.14x = 62,845,893.28
  5. Step 5: Solve for x
    x = 62,845,893.28/7,723.14
  6. Step 6: Final answer
    x = 8,137.35

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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.