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Finding the Fourth Proportional to 8,147.71, 12,221.61 and 2,953.45

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Solution

The fourth proportional to 8,147.71, 12,221.61 and 2,953.45 is: 4,430.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.71 : 12,221.61 = 2,953.45 : x
  2. Step 2: Convert to fraction form
    8,147.71/12,221.61 = 2,953.45/x
  3. Step 3: Cross multiply
    8,147.71x = 12,221.61 × 2,953.45
  4. Step 4: Simplify right side
    8,147.71x = 36,095,914.05
  5. Step 5: Solve for x
    x = 36,095,914.05/8,147.71
  6. Step 6: Final answer
    x = 4,430.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.