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Finding the Fourth Proportional to 8,705.92, 12,012.48 and 5,170.24

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Solution

The fourth proportional to 8,705.92, 12,012.48 and 5,170.24 is: 7,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.92 : 12,012.48 = 5,170.24 : x
  2. Step 2: Convert to fraction form
    8,705.92/12,012.48 = 5,170.24/x
  3. Step 3: Cross multiply
    8,705.92x = 12,012.48 × 5,170.24
  4. Step 4: Simplify right side
    8,705.92x = 62,107,404.60
  5. Step 5: Solve for x
    x = 62,107,404.60/8,705.92
  6. Step 6: Final answer
    x = 7,133.93

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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.