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Finding the Fourth Proportional to 7,014.84, 10,524.81 and 3,314.28

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Solution

The fourth proportional to 7,014.84, 10,524.81 and 3,314.28 is: 4,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.84 : 10,524.81 = 3,314.28 : x
  2. Step 2: Convert to fraction form
    7,014.84/10,524.81 = 3,314.28/x
  3. Step 3: Cross multiply
    7,014.84x = 10,524.81 × 3,314.28
  4. Step 4: Simplify right side
    7,014.84x = 34,882,167.29
  5. Step 5: Solve for x
    x = 34,882,167.29/7,014.84
  6. Step 6: Final answer
    x = 4,972.62

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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.