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Finding the Fourth Proportional to 10,610.86, 14,648.46 and 7,481.02

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Solution

The fourth proportional to 10,610.86, 14,648.46 and 7,481.02 is: 10,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.86 : 14,648.46 = 7,481.02 : x
  2. Step 2: Convert to fraction form
    10,610.86/14,648.46 = 7,481.02/x
  3. Step 3: Cross multiply
    10,610.86x = 14,648.46 × 7,481.02
  4. Step 4: Simplify right side
    10,610.86x = 109,585,422.23
  5. Step 5: Solve for x
    x = 109,585,422.23/10,610.86
  6. Step 6: Final answer
    x = 10,327.67

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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.