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Finding the Fourth Proportional to 10,656.21, 14,704.68 and 6,178.53

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Solution

The fourth proportional to 10,656.21, 14,704.68 and 6,178.53 is: 8,525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.21 : 14,704.68 = 6,178.53 : x
  2. Step 2: Convert to fraction form
    10,656.21/14,704.68 = 6,178.53/x
  3. Step 3: Cross multiply
    10,656.21x = 14,704.68 × 6,178.53
  4. Step 4: Simplify right side
    10,656.21x = 90,853,306.52
  5. Step 5: Solve for x
    x = 90,853,306.52/10,656.21
  6. Step 6: Final answer
    x = 8,525.86

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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.