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Finding the Fourth Proportional to 6,500.96, 8,971.30 and 3,516.81

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Solution

The fourth proportional to 6,500.96, 8,971.30 and 3,516.81 is: 4,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.96 : 8,971.30 = 3,516.81 : x
  2. Step 2: Convert to fraction form
    6,500.96/8,971.30 = 3,516.81/x
  3. Step 3: Cross multiply
    6,500.96x = 8,971.30 × 3,516.81
  4. Step 4: Simplify right side
    6,500.96x = 31,550,357.55
  5. Step 5: Solve for x
    x = 31,550,357.55/6,500.96
  6. Step 6: Final answer
    x = 4,853.18

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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.