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Finding the Fourth Proportional to 8,230.56, 11,335.37 and 7,111.14

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Solution

The fourth proportional to 8,230.56, 11,335.37 and 7,111.14 is: 9,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.56 : 11,335.37 = 7,111.14 : x
  2. Step 2: Convert to fraction form
    8,230.56/11,335.37 = 7,111.14/x
  3. Step 3: Cross multiply
    8,230.56x = 11,335.37 × 7,111.14
  4. Step 4: Simplify right side
    8,230.56x = 80,607,403.02
  5. Step 5: Solve for x
    x = 80,607,403.02/8,230.56
  6. Step 6: Final answer
    x = 9,793.67

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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.