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Finding the Fourth Proportional to 8,075.52, 11,141.12 and 6,187.44

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Solution

The fourth proportional to 8,075.52, 11,141.12 and 6,187.44 is: 8,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.52 : 11,141.12 = 6,187.44 : x
  2. Step 2: Convert to fraction form
    8,075.52/11,141.12 = 6,187.44/x
  3. Step 3: Cross multiply
    8,075.52x = 11,141.12 × 6,187.44
  4. Step 4: Simplify right side
    8,075.52x = 68,935,011.53
  5. Step 5: Solve for x
    x = 68,935,011.53/8,075.52
  6. Step 6: Final answer
    x = 8,536.29

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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.