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Finding the Fourth Proportional to 8,443.40, 12,665.10 and 6,803.15

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Solution

The fourth proportional to 8,443.40, 12,665.10 and 6,803.15 is: 10,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.40 : 12,665.10 = 6,803.15 : x
  2. Step 2: Convert to fraction form
    8,443.40/12,665.10 = 6,803.15/x
  3. Step 3: Cross multiply
    8,443.40x = 12,665.10 × 6,803.15
  4. Step 4: Simplify right side
    8,443.40x = 86,162,575.07
  5. Step 5: Solve for x
    x = 86,162,575.07/8,443.40
  6. Step 6: Final answer
    x = 10,204.73

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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.