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Finding the Fourth Proportional to 10,369.08, 14,311.08 and 6,178.14

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Solution

The fourth proportional to 10,369.08, 14,311.08 and 6,178.14 is: 8,526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.08 : 14,311.08 = 6,178.14 : x
  2. Step 2: Convert to fraction form
    10,369.08/14,311.08 = 6,178.14/x
  3. Step 3: Cross multiply
    10,369.08x = 14,311.08 × 6,178.14
  4. Step 4: Simplify right side
    10,369.08x = 88,415,855.79
  5. Step 5: Solve for x
    x = 88,415,855.79/10,369.08
  6. Step 6: Final answer
    x = 8,526.88

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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.