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Finding the Fourth Proportional to 8,005.97, 12,010.52 and 3,075.23

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Solution

The fourth proportional to 8,005.97, 12,010.52 and 3,075.23 is: 4,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.97 : 12,010.52 = 3,075.23 : x
  2. Step 2: Convert to fraction form
    8,005.97/12,010.52 = 3,075.23/x
  3. Step 3: Cross multiply
    8,005.97x = 12,010.52 × 3,075.23
  4. Step 4: Simplify right side
    8,005.97x = 36,935,149.13
  5. Step 5: Solve for x
    x = 36,935,149.13/8,005.97
  6. Step 6: Final answer
    x = 4,613.45

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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.