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Finding the Fourth Proportional to 6,994.38, 10,492.86 and 2,314.43

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Solution

The fourth proportional to 6,994.38, 10,492.86 and 2,314.43 is: 3,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.38 : 10,492.86 = 2,314.43 : x
  2. Step 2: Convert to fraction form
    6,994.38/10,492.86 = 2,314.43/x
  3. Step 3: Cross multiply
    6,994.38x = 10,492.86 × 2,314.43
  4. Step 4: Simplify right side
    6,994.38x = 24,284,983.86
  5. Step 5: Solve for x
    x = 24,284,983.86/6,994.38
  6. Step 6: Final answer
    x = 3,472.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.