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Finding the Fourth Proportional to 11,016.50, 16,513.82 and 6,088.46

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Solution

The fourth proportional to 11,016.50, 16,513.82 and 6,088.46 is: 9,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016.50 : 16,513.82 = 6,088.46 : x
  2. Step 2: Convert to fraction form
    11,016.50/16,513.82 = 6,088.46/x
  3. Step 3: Cross multiply
    11,016.50x = 16,513.82 × 6,088.46
  4. Step 4: Simplify right side
    11,016.50x = 100,543,702.07
  5. Step 5: Solve for x
    x = 100,543,702.07/11,016.50
  6. Step 6: Final answer
    x = 9,126.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.