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Finding the Fourth Proportional to 11,354.82, 15,667.32 and 6,880.78

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Solution

The fourth proportional to 11,354.82, 15,667.32 and 6,880.78 is: 9,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.82 : 15,667.32 = 6,880.78 : x
  2. Step 2: Convert to fraction form
    11,354.82/15,667.32 = 6,880.78/x
  3. Step 3: Cross multiply
    11,354.82x = 15,667.32 × 6,880.78
  4. Step 4: Simplify right side
    11,354.82x = 107,803,382.11
  5. Step 5: Solve for x
    x = 107,803,382.11/11,354.82
  6. Step 6: Final answer
    x = 9,494.06

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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.