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Finding the Fourth Proportional to 10,271.66, 14,181.82 and 6,740.87

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Solution

The fourth proportional to 10,271.66, 14,181.82 and 6,740.87 is: 9,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.66 : 14,181.82 = 6,740.87 : x
  2. Step 2: Convert to fraction form
    10,271.66/14,181.82 = 6,740.87/x
  3. Step 3: Cross multiply
    10,271.66x = 14,181.82 × 6,740.87
  4. Step 4: Simplify right side
    10,271.66x = 95,597,717.22
  5. Step 5: Solve for x
    x = 95,597,717.22/10,271.66
  6. Step 6: Final answer
    x = 9,306.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.