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Finding the Fourth Proportional to 8,002.19, 12,005.22 and 3,004.61

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Solution

The fourth proportional to 8,002.19, 12,005.22 and 3,004.61 is: 4,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.19 : 12,005.22 = 3,004.61 : x
  2. Step 2: Convert to fraction form
    8,002.19/12,005.22 = 3,004.61/x
  3. Step 3: Cross multiply
    8,002.19x = 12,005.22 × 3,004.61
  4. Step 4: Simplify right side
    8,002.19x = 36,071,004.06
  5. Step 5: Solve for x
    x = 36,071,004.06/8,002.19
  6. Step 6: Final answer
    x = 4,507.64

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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.