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Finding the Fourth Proportional to 10,694.70, 14,758.47 and 6,504.30

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Solution

The fourth proportional to 10,694.70, 14,758.47 and 6,504.30 is: 8,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.70 : 14,758.47 = 6,504.30 : x
  2. Step 2: Convert to fraction form
    10,694.70/14,758.47 = 6,504.30/x
  3. Step 3: Cross multiply
    10,694.70x = 14,758.47 × 6,504.30
  4. Step 4: Simplify right side
    10,694.70x = 95,993,516.42
  5. Step 5: Solve for x
    x = 95,993,516.42/10,694.70
  6. Step 6: Final answer
    x = 8,975.80

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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.