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Finding the Fourth Proportional to 8,408.40, 12,588.10 and 6,553.86

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Solution

The fourth proportional to 8,408.40, 12,588.10 and 6,553.86 is: 9,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.40 : 12,588.10 = 6,553.86 : x
  2. Step 2: Convert to fraction form
    8,408.40/12,588.10 = 6,553.86/x
  3. Step 3: Cross multiply
    8,408.40x = 12,588.10 × 6,553.86
  4. Step 4: Simplify right side
    8,408.40x = 82,500,645.07
  5. Step 5: Solve for x
    x = 82,500,645.07/8,408.40
  6. Step 6: Final answer
    x = 9,811.69

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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.