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Finding the Fourth Proportional to 10,655.33, 14,704.41 and 6,181.74

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Solution

The fourth proportional to 10,655.33, 14,704.41 and 6,181.74 is: 8,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.33 : 14,704.41 = 6,181.74 : x
  2. Step 2: Convert to fraction form
    10,655.33/14,704.41 = 6,181.74/x
  3. Step 3: Cross multiply
    10,655.33x = 14,704.41 × 6,181.74
  4. Step 4: Simplify right side
    10,655.33x = 90,898,839.47
  5. Step 5: Solve for x
    x = 90,898,839.47/10,655.33
  6. Step 6: Final answer
    x = 8,530.84

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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.