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Finding the Fourth Proportional to 7,443.34, 11,166.42 and 2,447.12

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Solution

The fourth proportional to 7,443.34, 11,166.42 and 2,447.12 is: 3,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.34 : 11,166.42 = 2,447.12 : x
  2. Step 2: Convert to fraction form
    7,443.34/11,166.42 = 2,447.12/x
  3. Step 3: Cross multiply
    7,443.34x = 11,166.42 × 2,447.12
  4. Step 4: Simplify right side
    7,443.34x = 27,325,569.71
  5. Step 5: Solve for x
    x = 27,325,569.71/7,443.34
  6. Step 6: Final answer
    x = 3,671.14

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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.