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Finding the Fourth Proportional to 8,049.34, 12,075.18 and 3,053.60

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Solution

The fourth proportional to 8,049.34, 12,075.18 and 3,053.60 is: 4,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.34 : 12,075.18 = 3,053.60 : x
  2. Step 2: Convert to fraction form
    8,049.34/12,075.18 = 3,053.60/x
  3. Step 3: Cross multiply
    8,049.34x = 12,075.18 × 3,053.60
  4. Step 4: Simplify right side
    8,049.34x = 36,872,769.65
  5. Step 5: Solve for x
    x = 36,872,769.65/8,049.34
  6. Step 6: Final answer
    x = 4,580.84

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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.