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Finding the Fourth Proportional to 10,647.86, 14,669.55 and 8,408.93

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Solution

The fourth proportional to 10,647.86, 14,669.55 and 8,408.93 is: 11,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.86 : 14,669.55 = 8,408.93 : x
  2. Step 2: Convert to fraction form
    10,647.86/14,669.55 = 8,408.93/x
  3. Step 3: Cross multiply
    10,647.86x = 14,669.55 × 8,408.93
  4. Step 4: Simplify right side
    10,647.86x = 123,355,145.73
  5. Step 5: Solve for x
    x = 123,355,145.73/10,647.86
  6. Step 6: Final answer
    x = 11,584.98

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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.