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Finding the Fourth Proportional to 8,081.88, 11,152.49 and 4,938.06

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Solution

The fourth proportional to 8,081.88, 11,152.49 and 4,938.06 is: 6,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.88 : 11,152.49 = 4,938.06 : x
  2. Step 2: Convert to fraction form
    8,081.88/11,152.49 = 4,938.06/x
  3. Step 3: Cross multiply
    8,081.88x = 11,152.49 × 4,938.06
  4. Step 4: Simplify right side
    8,081.88x = 55,071,681.90
  5. Step 5: Solve for x
    x = 55,071,681.90/8,081.88
  6. Step 6: Final answer
    x = 6,814.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.