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Finding the Fourth Proportional to 10,448.32, 15,667.44 and 5,523.52

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Solution

The fourth proportional to 10,448.32, 15,667.44 and 5,523.52 is: 8,282.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.32 : 15,667.44 = 5,523.52 : x
  2. Step 2: Convert to fraction form
    10,448.32/15,667.44 = 5,523.52/x
  3. Step 3: Cross multiply
    10,448.32x = 15,667.44 × 5,523.52
  4. Step 4: Simplify right side
    10,448.32x = 86,539,418.19
  5. Step 5: Solve for x
    x = 86,539,418.19/10,448.32
  6. Step 6: Final answer
    x = 8,282.62

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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.