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Finding the Fourth Proportional to 11,277.11, 15,551.75 and 8,412.17

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Solution

The fourth proportional to 11,277.11, 15,551.75 and 8,412.17 is: 11,600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.11 : 15,551.75 = 8,412.17 : x
  2. Step 2: Convert to fraction form
    11,277.11/15,551.75 = 8,412.17/x
  3. Step 3: Cross multiply
    11,277.11x = 15,551.75 × 8,412.17
  4. Step 4: Simplify right side
    11,277.11x = 130,823,844.98
  5. Step 5: Solve for x
    x = 130,823,844.98/11,277.11
  6. Step 6: Final answer
    x = 11,600.84

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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.