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Finding the Fourth Proportional to 8,005.64, 12,014.58 and 3,626.18

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Solution

The fourth proportional to 8,005.64, 12,014.58 and 3,626.18 is: 5,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.64 : 12,014.58 = 3,626.18 : x
  2. Step 2: Convert to fraction form
    8,005.64/12,014.58 = 3,626.18/x
  3. Step 3: Cross multiply
    8,005.64x = 12,014.58 × 3,626.18
  4. Step 4: Simplify right side
    8,005.64x = 43,566,969.63
  5. Step 5: Solve for x
    x = 43,566,969.63/8,005.64
  6. Step 6: Final answer
    x = 5,442.04

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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.