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Finding the Fourth Proportional to 11,443.80, 17,151.83 and 4,856.14

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Solution

The fourth proportional to 11,443.80, 17,151.83 and 4,856.14 is: 7,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.80 : 17,151.83 = 4,856.14 : x
  2. Step 2: Convert to fraction form
    11,443.80/17,151.83 = 4,856.14/x
  3. Step 3: Cross multiply
    11,443.80x = 17,151.83 × 4,856.14
  4. Step 4: Simplify right side
    11,443.80x = 83,291,730.62
  5. Step 5: Solve for x
    x = 83,291,730.62/11,443.80
  6. Step 6: Final answer
    x = 7,278.33

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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.