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Finding the Fourth Proportional to 8,438.48, 11,646.87 and 5,606.09

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Solution

The fourth proportional to 8,438.48, 11,646.87 and 5,606.09 is: 7,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.48 : 11,646.87 = 5,606.09 : x
  2. Step 2: Convert to fraction form
    8,438.48/11,646.87 = 5,606.09/x
  3. Step 3: Cross multiply
    8,438.48x = 11,646.87 × 5,606.09
  4. Step 4: Simplify right side
    8,438.48x = 65,293,401.44
  5. Step 5: Solve for x
    x = 65,293,401.44/8,438.48
  6. Step 6: Final answer
    x = 7,737.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.