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Finding the Fourth Proportional to 7,839.46, 11,753.15 and 6,798.02

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Solution

The fourth proportional to 7,839.46, 11,753.15 and 6,798.02 is: 10,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.46 : 11,753.15 = 6,798.02 : x
  2. Step 2: Convert to fraction form
    7,839.46/11,753.15 = 6,798.02/x
  3. Step 3: Cross multiply
    7,839.46x = 11,753.15 × 6,798.02
  4. Step 4: Simplify right side
    7,839.46x = 79,898,144.16
  5. Step 5: Solve for x
    x = 79,898,144.16/7,839.46
  6. Step 6: Final answer
    x = 10,191.80

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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.