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Finding the Fourth Proportional to 8,005.42, 12,009.90 and 3,075.06

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Solution

The fourth proportional to 8,005.42, 12,009.90 and 3,075.06 is: 4,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.42 : 12,009.90 = 3,075.06 : x
  2. Step 2: Convert to fraction form
    8,005.42/12,009.90 = 3,075.06/x
  3. Step 3: Cross multiply
    8,005.42x = 12,009.90 × 3,075.06
  4. Step 4: Simplify right side
    8,005.42x = 36,931,163.09
  5. Step 5: Solve for x
    x = 36,931,163.09/8,005.42
  6. Step 6: Final answer
    x = 4,613.27

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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.