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Finding the Fourth Proportional to 8,048.36, 12,075.70 and 2,502.14

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Solution

The fourth proportional to 8,048.36, 12,075.70 and 2,502.14 is: 3,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.36 : 12,075.70 = 2,502.14 : x
  2. Step 2: Convert to fraction form
    8,048.36/12,075.70 = 2,502.14/x
  3. Step 3: Cross multiply
    8,048.36x = 12,075.70 × 2,502.14
  4. Step 4: Simplify right side
    8,048.36x = 30,215,092.00
  5. Step 5: Solve for x
    x = 30,215,092.00/8,048.36
  6. Step 6: Final answer
    x = 3,754.19

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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.