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Finding the Fourth Proportional to 10,408.84, 14,365.50 and 6,217

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Solution

The fourth proportional to 10,408.84, 14,365.50 and 6,217 is: 8,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.84 : 14,365.50 = 6,217 : x
  2. Step 2: Convert to fraction form
    10,408.84/14,365.50 = 6,217/x
  3. Step 3: Cross multiply
    10,408.84x = 14,365.50 × 6,217
  4. Step 4: Simplify right side
    10,408.84x = 89,310,313.50
  5. Step 5: Solve for x
    x = 89,310,313.50/10,408.84
  6. Step 6: Final answer
    x = 8,580.24

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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.