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Finding the Fourth Proportional to 8,429.04, 12,643.11 and 2,585.67

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Solution

The fourth proportional to 8,429.04, 12,643.11 and 2,585.67 is: 3,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.04 : 12,643.11 = 2,585.67 : x
  2. Step 2: Convert to fraction form
    8,429.04/12,643.11 = 2,585.67/x
  3. Step 3: Cross multiply
    8,429.04x = 12,643.11 × 2,585.67
  4. Step 4: Simplify right side
    8,429.04x = 32,690,910.23
  5. Step 5: Solve for x
    x = 32,690,910.23/8,429.04
  6. Step 6: Final answer
    x = 3,878.37

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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.