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Finding the Fourth Proportional to 11,847.56, 16,334.40 and 9,715.40

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Solution

The fourth proportional to 11,847.56, 16,334.40 and 9,715.40 is: 13,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.56 : 16,334.40 = 9,715.40 : x
  2. Step 2: Convert to fraction form
    11,847.56/16,334.40 = 9,715.40/x
  3. Step 3: Cross multiply
    11,847.56x = 16,334.40 × 9,715.40
  4. Step 4: Simplify right side
    11,847.56x = 158,695,229.76
  5. Step 5: Solve for x
    x = 158,695,229.76/11,847.56
  6. Step 6: Final answer
    x = 13,394.76

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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.