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Finding the Fourth Proportional to 8,020.19, 12,032.70 and 5,684.71

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Solution

The fourth proportional to 8,020.19, 12,032.70 and 5,684.71 is: 8,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.19 : 12,032.70 = 5,684.71 : x
  2. Step 2: Convert to fraction form
    8,020.19/12,032.70 = 5,684.71/x
  3. Step 3: Cross multiply
    8,020.19x = 12,032.70 × 5,684.71
  4. Step 4: Simplify right side
    8,020.19x = 68,402,410.02
  5. Step 5: Solve for x
    x = 68,402,410.02/8,020.19
  6. Step 6: Final answer
    x = 8,528.78

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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.