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Finding the Fourth Proportional to 8,431.48, 12,646.41 and 3,751.57

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Solution

The fourth proportional to 8,431.48, 12,646.41 and 3,751.57 is: 5,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.48 : 12,646.41 = 3,751.57 : x
  2. Step 2: Convert to fraction form
    8,431.48/12,646.41 = 3,751.57/x
  3. Step 3: Cross multiply
    8,431.48x = 12,646.41 × 3,751.57
  4. Step 4: Simplify right side
    8,431.48x = 47,443,892.36
  5. Step 5: Solve for x
    x = 47,443,892.36/8,431.48
  6. Step 6: Final answer
    x = 5,626.99

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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.