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Finding the Fourth Proportional to 8,196.72, 12,300 and 2,931.31

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Solution

The fourth proportional to 8,196.72, 12,300 and 2,931.31 is: 4,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.72 : 12,300 = 2,931.31 : x
  2. Step 2: Convert to fraction form
    8,196.72/12,300 = 2,931.31/x
  3. Step 3: Cross multiply
    8,196.72x = 12,300 × 2,931.31
  4. Step 4: Simplify right side
    8,196.72x = 36,055,113
  5. Step 5: Solve for x
    x = 36,055,113/8,196.72
  6. Step 6: Final answer
    x = 4,398.73

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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.