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Finding the Fourth Proportional to 11,177.76, 16,767.17 and 6,243.65

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Solution

The fourth proportional to 11,177.76, 16,767.17 and 6,243.65 is: 9,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.76 : 16,767.17 = 6,243.65 : x
  2. Step 2: Convert to fraction form
    11,177.76/16,767.17 = 6,243.65/x
  3. Step 3: Cross multiply
    11,177.76x = 16,767.17 × 6,243.65
  4. Step 4: Simplify right side
    11,177.76x = 104,688,312.21
  5. Step 5: Solve for x
    x = 104,688,312.21/11,177.76
  6. Step 6: Final answer
    x = 9,365.77

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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.