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Finding the Fourth Proportional to 10,408.70, 14,346.50 and 7,890

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Solution

The fourth proportional to 10,408.70, 14,346.50 and 7,890 is: 10,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.70 : 14,346.50 = 7,890 : x
  2. Step 2: Convert to fraction form
    10,408.70/14,346.50 = 7,890/x
  3. Step 3: Cross multiply
    10,408.70x = 14,346.50 × 7,890
  4. Step 4: Simplify right side
    10,408.70x = 113,193,885
  5. Step 5: Solve for x
    x = 113,193,885/10,408.70
  6. Step 6: Final answer
    x = 10,874.94

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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.