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Finding the Fourth Proportional to 7,642.04, 11,463.22 and 2,447.90

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Solution

The fourth proportional to 7,642.04, 11,463.22 and 2,447.90 is: 3,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.04 : 11,463.22 = 2,447.90 : x
  2. Step 2: Convert to fraction form
    7,642.04/11,463.22 = 2,447.90/x
  3. Step 3: Cross multiply
    7,642.04x = 11,463.22 × 2,447.90
  4. Step 4: Simplify right side
    7,642.04x = 28,060,816.24
  5. Step 5: Solve for x
    x = 28,060,816.24/7,642.04
  6. Step 6: Final answer
    x = 3,671.90

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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.