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Finding the Fourth Proportional to 8,064.90, 12,097.24 and 3,905.28

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Solution

The fourth proportional to 8,064.90, 12,097.24 and 3,905.28 is: 5,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.90 : 12,097.24 = 3,905.28 : x
  2. Step 2: Convert to fraction form
    8,064.90/12,097.24 = 3,905.28/x
  3. Step 3: Cross multiply
    8,064.90x = 12,097.24 × 3,905.28
  4. Step 4: Simplify right side
    8,064.90x = 47,243,029.41
  5. Step 5: Solve for x
    x = 47,243,029.41/8,064.90
  6. Step 6: Final answer
    x = 5,857.86

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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.