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Finding the Fourth Proportional to 8,195.72, 12,298.50 and 2,930.31

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Solution

The fourth proportional to 8,195.72, 12,298.50 and 2,930.31 is: 4,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.72 : 12,298.50 = 2,930.31 : x
  2. Step 2: Convert to fraction form
    8,195.72/12,298.50 = 2,930.31/x
  3. Step 3: Cross multiply
    8,195.72x = 12,298.50 × 2,930.31
  4. Step 4: Simplify right side
    8,195.72x = 36,038,417.54
  5. Step 5: Solve for x
    x = 36,038,417.54/8,195.72
  6. Step 6: Final answer
    x = 4,397.23

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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.