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Finding the Fourth Proportional to 11,176.52, 16,760.75 and 3,678.17

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Solution

The fourth proportional to 11,176.52, 16,760.75 and 3,678.17 is: 5,515.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,176.52 : 16,760.75 = 3,678.17 : x
  2. Step 2: Convert to fraction form
    11,176.52/16,760.75 = 3,678.17/x
  3. Step 3: Cross multiply
    11,176.52x = 16,760.75 × 3,678.17
  4. Step 4: Simplify right side
    11,176.52x = 61,648,785.63
  5. Step 5: Solve for x
    x = 61,648,785.63/11,176.52
  6. Step 6: Final answer
    x = 5,515.92

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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.