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Finding the Fourth Proportional to 11,972.32, 16,521.76 and 6,667.20

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Solution

The fourth proportional to 11,972.32, 16,521.76 and 6,667.20 is: 9,200.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.32 : 16,521.76 = 6,667.20 : x
  2. Step 2: Convert to fraction form
    11,972.32/16,521.76 = 6,667.20/x
  3. Step 3: Cross multiply
    11,972.32x = 16,521.76 × 6,667.20
  4. Step 4: Simplify right side
    11,972.32x = 110,153,878.27
  5. Step 5: Solve for x
    x = 110,153,878.27/11,972.32
  6. Step 6: Final answer
    x = 9,200.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.