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Finding the Fourth Proportional to 7,447.04, 11,171.68 and 2,447.84

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Solution

The fourth proportional to 7,447.04, 11,171.68 and 2,447.84 is: 3,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.04 : 11,171.68 = 2,447.84 : x
  2. Step 2: Convert to fraction form
    7,447.04/11,171.68 = 2,447.84/x
  3. Step 3: Cross multiply
    7,447.04x = 11,171.68 × 2,447.84
  4. Step 4: Simplify right side
    7,447.04x = 27,346,485.17
  5. Step 5: Solve for x
    x = 27,346,485.17/7,447.04
  6. Step 6: Final answer
    x = 3,672.13

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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.