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Finding the Fourth Proportional to 7,240.68, 9,991.98 and 4,256.82

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Solution

The fourth proportional to 7,240.68, 9,991.98 and 4,256.82 is: 5,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.68 : 9,991.98 = 4,256.82 : x
  2. Step 2: Convert to fraction form
    7,240.68/9,991.98 = 4,256.82/x
  3. Step 3: Cross multiply
    7,240.68x = 9,991.98 × 4,256.82
  4. Step 4: Simplify right side
    7,240.68x = 42,534,060.30
  5. Step 5: Solve for x
    x = 42,534,060.30/7,240.68
  6. Step 6: Final answer
    x = 5,874.32

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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.