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Finding the Fourth Proportional to 7,149.76, 10,745.76 and 5,924.96

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Solution

The fourth proportional to 7,149.76, 10,745.76 and 5,924.96 is: 8,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.76 : 10,745.76 = 5,924.96 : x
  2. Step 2: Convert to fraction form
    7,149.76/10,745.76 = 5,924.96/x
  3. Step 3: Cross multiply
    7,149.76x = 10,745.76 × 5,924.96
  4. Step 4: Simplify right side
    7,149.76x = 63,668,198.17
  5. Step 5: Solve for x
    x = 63,668,198.17/7,149.76
  6. Step 6: Final answer
    x = 8,904.94

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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.