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Finding the Fourth Proportional to 11,898.72, 16,422.96 and 7,920

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Solution

The fourth proportional to 11,898.72, 16,422.96 and 7,920 is: 10,931.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.72 : 16,422.96 = 7,920 : x
  2. Step 2: Convert to fraction form
    11,898.72/16,422.96 = 7,920/x
  3. Step 3: Cross multiply
    11,898.72x = 16,422.96 × 7,920
  4. Step 4: Simplify right side
    11,898.72x = 130,069,843.20
  5. Step 5: Solve for x
    x = 130,069,843.20/11,898.72
  6. Step 6: Final answer
    x = 10,931.41

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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.