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Finding the Fourth Proportional to 8,200.19, 12,304.29 and 3,518.81

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Solution

The fourth proportional to 8,200.19, 12,304.29 and 3,518.81 is: 5,279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.19 : 12,304.29 = 3,518.81 : x
  2. Step 2: Convert to fraction form
    8,200.19/12,304.29 = 3,518.81/x
  3. Step 3: Cross multiply
    8,200.19x = 12,304.29 × 3,518.81
  4. Step 4: Simplify right side
    8,200.19x = 43,296,397.17
  5. Step 5: Solve for x
    x = 43,296,397.17/8,200.19
  6. Step 6: Final answer
    x = 5,279.93

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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.