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Finding the Fourth Proportional to 8,064.39, 12,094.56 and 2,869.05

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Solution

The fourth proportional to 8,064.39, 12,094.56 and 2,869.05 is: 4,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.39 : 12,094.56 = 2,869.05 : x
  2. Step 2: Convert to fraction form
    8,064.39/12,094.56 = 2,869.05/x
  3. Step 3: Cross multiply
    8,064.39x = 12,094.56 × 2,869.05
  4. Step 4: Simplify right side
    8,064.39x = 34,699,883.02
  5. Step 5: Solve for x
    x = 34,699,883.02/8,064.39
  6. Step 6: Final answer
    x = 4,302.85

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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.