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Finding the Fourth Proportional to 8,612.40, 11,884.74 and 5,075.82

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Solution

The fourth proportional to 8,612.40, 11,884.74 and 5,075.82 is: 7,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.40 : 11,884.74 = 5,075.82 : x
  2. Step 2: Convert to fraction form
    8,612.40/11,884.74 = 5,075.82/x
  3. Step 3: Cross multiply
    8,612.40x = 11,884.74 × 5,075.82
  4. Step 4: Simplify right side
    8,612.40x = 60,324,800.99
  5. Step 5: Solve for x
    x = 60,324,800.99/8,612.40
  6. Step 6: Final answer
    x = 7,004.41

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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.