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Finding the Fourth Proportional to 8,652, 12,965.84 and 5,732.32

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Solution

The fourth proportional to 8,652, 12,965.84 and 5,732.32 is: 8,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652 : 12,965.84 = 5,732.32 : x
  2. Step 2: Convert to fraction form
    8,652/12,965.84 = 5,732.32/x
  3. Step 3: Cross multiply
    8,652x = 12,965.84 × 5,732.32
  4. Step 4: Simplify right side
    8,652x = 74,324,343.95
  5. Step 5: Solve for x
    x = 74,324,343.95/8,652
  6. Step 6: Final answer
    x = 8,590.42

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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.