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Finding the Fourth Proportional to 8,024.87, 11,077.40 and 7,184.09

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Solution

The fourth proportional to 8,024.87, 11,077.40 and 7,184.09 is: 9,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.87 : 11,077.40 = 7,184.09 : x
  2. Step 2: Convert to fraction form
    8,024.87/11,077.40 = 7,184.09/x
  3. Step 3: Cross multiply
    8,024.87x = 11,077.40 × 7,184.09
  4. Step 4: Simplify right side
    8,024.87x = 79,581,084.22
  5. Step 5: Solve for x
    x = 79,581,084.22/8,024.87
  6. Step 6: Final answer
    x = 9,916.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.