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Finding the Fourth Proportional to 6,116.13, 9,163.96 and 5,888.61

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Solution

The fourth proportional to 6,116.13, 9,163.96 and 5,888.61 is: 8,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.13 : 9,163.96 = 5,888.61 : x
  2. Step 2: Convert to fraction form
    6,116.13/9,163.96 = 5,888.61/x
  3. Step 3: Cross multiply
    6,116.13x = 9,163.96 × 5,888.61
  4. Step 4: Simplify right side
    6,116.13x = 53,962,986.50
  5. Step 5: Solve for x
    x = 53,962,986.50/6,116.13
  6. Step 6: Final answer
    x = 8,823.06

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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.