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Finding the Fourth Proportional to 7,997.68, 11,036.92 and 4,461.24

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Solution

The fourth proportional to 7,997.68, 11,036.92 and 4,461.24 is: 6,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.68 : 11,036.92 = 4,461.24 : x
  2. Step 2: Convert to fraction form
    7,997.68/11,036.92 = 4,461.24/x
  3. Step 3: Cross multiply
    7,997.68x = 11,036.92 × 4,461.24
  4. Step 4: Simplify right side
    7,997.68x = 49,238,348.98
  5. Step 5: Solve for x
    x = 49,238,348.98/7,997.68
  6. Step 6: Final answer
    x = 6,156.58

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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.