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Finding the Fourth Proportional to 10,679.40, 14,742.51 and 8,027.67

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Solution

The fourth proportional to 10,679.40, 14,742.51 and 8,027.67 is: 11,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.40 : 14,742.51 = 8,027.67 : x
  2. Step 2: Convert to fraction form
    10,679.40/14,742.51 = 8,027.67/x
  3. Step 3: Cross multiply
    10,679.40x = 14,742.51 × 8,027.67
  4. Step 4: Simplify right side
    10,679.40x = 118,348,005.25
  5. Step 5: Solve for x
    x = 118,348,005.25/10,679.40
  6. Step 6: Final answer
    x = 11,081.90

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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.