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Finding the Fourth Proportional to 11,436.59, 17,164.81 and 6,176.18

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Solution

The fourth proportional to 11,436.59, 17,164.81 and 6,176.18 is: 9,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.59 : 17,164.81 = 6,176.18 : x
  2. Step 2: Convert to fraction form
    11,436.59/17,164.81 = 6,176.18/x
  3. Step 3: Cross multiply
    11,436.59x = 17,164.81 × 6,176.18
  4. Step 4: Simplify right side
    11,436.59x = 106,013,006.86
  5. Step 5: Solve for x
    x = 106,013,006.86/11,436.59
  6. Step 6: Final answer
    x = 9,269.63

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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.