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Finding the Fourth Proportional to 8,211.88, 11,332.74 and 4,486.12

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Solution

The fourth proportional to 8,211.88, 11,332.74 and 4,486.12 is: 6,191.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.88 : 11,332.74 = 4,486.12 : x
  2. Step 2: Convert to fraction form
    8,211.88/11,332.74 = 4,486.12/x
  3. Step 3: Cross multiply
    8,211.88x = 11,332.74 × 4,486.12
  4. Step 4: Simplify right side
    8,211.88x = 50,840,031.57
  5. Step 5: Solve for x
    x = 50,840,031.57/8,211.88
  6. Step 6: Final answer
    x = 6,191.03

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