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Finding the Fourth Proportional to 8,502.96, 11,734.56 and 5,146.32

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Solution

The fourth proportional to 8,502.96, 11,734.56 and 5,146.32 is: 7,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.96 : 11,734.56 = 5,146.32 : x
  2. Step 2: Convert to fraction form
    8,502.96/11,734.56 = 5,146.32/x
  3. Step 3: Cross multiply
    8,502.96x = 11,734.56 × 5,146.32
  4. Step 4: Simplify right side
    8,502.96x = 60,389,800.82
  5. Step 5: Solve for x
    x = 60,389,800.82/8,502.96
  6. Step 6: Final answer
    x = 7,102.21

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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.