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Finding the Fourth Proportional to 8,189.34, 12,284.02 and 3,506.31

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Solution

The fourth proportional to 8,189.34, 12,284.02 and 3,506.31 is: 5,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.34 : 12,284.02 = 3,506.31 : x
  2. Step 2: Convert to fraction form
    8,189.34/12,284.02 = 3,506.31/x
  3. Step 3: Cross multiply
    8,189.34x = 12,284.02 × 3,506.31
  4. Step 4: Simplify right side
    8,189.34x = 43,071,582.17
  5. Step 5: Solve for x
    x = 43,071,582.17/8,189.34
  6. Step 6: Final answer
    x = 5,259.47

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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.