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Finding the Fourth Proportional to 7,709.52, 11,565.01 and 2,162.85

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Solution

The fourth proportional to 7,709.52, 11,565.01 and 2,162.85 is: 3,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.52 : 11,565.01 = 2,162.85 : x
  2. Step 2: Convert to fraction form
    7,709.52/11,565.01 = 2,162.85/x
  3. Step 3: Cross multiply
    7,709.52x = 11,565.01 × 2,162.85
  4. Step 4: Simplify right side
    7,709.52x = 25,013,328.52
  5. Step 5: Solve for x
    x = 25,013,328.52/7,709.52
  6. Step 6: Final answer
    x = 3,244.47

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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.