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Finding the Fourth Proportional to 8,195.40, 12,293.10 and 6,810.30

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Solution

The fourth proportional to 8,195.40, 12,293.10 and 6,810.30 is: 10,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.40 : 12,293.10 = 6,810.30 : x
  2. Step 2: Convert to fraction form
    8,195.40/12,293.10 = 6,810.30/x
  3. Step 3: Cross multiply
    8,195.40x = 12,293.10 × 6,810.30
  4. Step 4: Simplify right side
    8,195.40x = 83,719,698.93
  5. Step 5: Solve for x
    x = 83,719,698.93/8,195.40
  6. Step 6: Final answer
    x = 10,215.45

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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.