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Finding the Fourth Proportional to 6,500.24, 8,971.08 and 3,705.68

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Solution

The fourth proportional to 6,500.24, 8,971.08 and 3,705.68 is: 5,114.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.24 : 8,971.08 = 3,705.68 : x
  2. Step 2: Convert to fraction form
    6,500.24/8,971.08 = 3,705.68/x
  3. Step 3: Cross multiply
    6,500.24x = 8,971.08 × 3,705.68
  4. Step 4: Simplify right side
    6,500.24x = 33,243,951.73
  5. Step 5: Solve for x
    x = 33,243,951.73/6,500.24
  6. Step 6: Final answer
    x = 5,114.27

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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.