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Finding the Fourth Proportional to 10,278.86, 14,184 and 6,299.42

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Solution

The fourth proportional to 10,278.86, 14,184 and 6,299.42 is: 8,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.86 : 14,184 = 6,299.42 : x
  2. Step 2: Convert to fraction form
    10,278.86/14,184 = 6,299.42/x
  3. Step 3: Cross multiply
    10,278.86x = 14,184 × 6,299.42
  4. Step 4: Simplify right side
    10,278.86x = 89,350,973.28
  5. Step 5: Solve for x
    x = 89,350,973.28/10,278.86
  6. Step 6: Final answer
    x = 8,692.69

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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.