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Finding the Fourth Proportional to 8,012.90, 12,003.02 and 6,537.38

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Solution

The fourth proportional to 8,012.90, 12,003.02 and 6,537.38 is: 9,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.90 : 12,003.02 = 6,537.38 : x
  2. Step 2: Convert to fraction form
    8,012.90/12,003.02 = 6,537.38/x
  3. Step 3: Cross multiply
    8,012.90x = 12,003.02 × 6,537.38
  4. Step 4: Simplify right side
    8,012.90x = 78,468,259.22
  5. Step 5: Solve for x
    x = 78,468,259.22/8,012.90
  6. Step 6: Final answer
    x = 9,792.75

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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.