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Finding the Fourth Proportional to 11,075.84, 15,297.42 and 8,064.42

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Solution

The fourth proportional to 11,075.84, 15,297.42 and 8,064.42 is: 11,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.84 : 15,297.42 = 8,064.42 : x
  2. Step 2: Convert to fraction form
    11,075.84/15,297.42 = 8,064.42/x
  3. Step 3: Cross multiply
    11,075.84x = 15,297.42 × 8,064.42
  4. Step 4: Simplify right side
    11,075.84x = 123,364,864.37
  5. Step 5: Solve for x
    x = 123,364,864.37/11,075.84
  6. Step 6: Final answer
    x = 11,138.20

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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.