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Finding the Fourth Proportional to 10,704.13, 14,771.63 and 6,165.14

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Solution

The fourth proportional to 10,704.13, 14,771.63 and 6,165.14 is: 8,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.13 : 14,771.63 = 6,165.14 : x
  2. Step 2: Convert to fraction form
    10,704.13/14,771.63 = 6,165.14/x
  3. Step 3: Cross multiply
    10,704.13x = 14,771.63 × 6,165.14
  4. Step 4: Simplify right side
    10,704.13x = 91,069,108.53
  5. Step 5: Solve for x
    x = 91,069,108.53/10,704.13
  6. Step 6: Final answer
    x = 8,507.85

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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.