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Finding the Fourth Proportional to 7,658.72, 11,489.28 and 2,465.12

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Solution

The fourth proportional to 7,658.72, 11,489.28 and 2,465.12 is: 3,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.72 : 11,489.28 = 2,465.12 : x
  2. Step 2: Convert to fraction form
    7,658.72/11,489.28 = 2,465.12/x
  3. Step 3: Cross multiply
    7,658.72x = 11,489.28 × 2,465.12
  4. Step 4: Simplify right side
    7,658.72x = 28,322,453.91
  5. Step 5: Solve for x
    x = 28,322,453.91/7,658.72
  6. Step 6: Final answer
    x = 3,698.07

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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.