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Finding the Fourth Proportional to 8,475.14, 11,695.68 and 4,749.14

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Solution

The fourth proportional to 8,475.14, 11,695.68 and 4,749.14 is: 6,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.14 : 11,695.68 = 4,749.14 : x
  2. Step 2: Convert to fraction form
    8,475.14/11,695.68 = 4,749.14/x
  3. Step 3: Cross multiply
    8,475.14x = 11,695.68 × 4,749.14
  4. Step 4: Simplify right side
    8,475.14x = 55,544,421.72
  5. Step 5: Solve for x
    x = 55,544,421.72/8,475.14
  6. Step 6: Final answer
    x = 6,553.81

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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.