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Finding the Fourth Proportional to 8,211.70, 12,292.71 and 5,292.10

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Solution

The fourth proportional to 8,211.70, 12,292.71 and 5,292.10 is: 7,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.70 : 12,292.71 = 5,292.10 : x
  2. Step 2: Convert to fraction form
    8,211.70/12,292.71 = 5,292.10/x
  3. Step 3: Cross multiply
    8,211.70x = 12,292.71 × 5,292.10
  4. Step 4: Simplify right side
    8,211.70x = 65,054,250.59
  5. Step 5: Solve for x
    x = 65,054,250.59/8,211.70
  6. Step 6: Final answer
    x = 7,922.14

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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.