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Finding the Fourth Proportional to 6,981.69, 10,476.03 and 4,348.38

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Solution

The fourth proportional to 6,981.69, 10,476.03 and 4,348.38 is: 6,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.69 : 10,476.03 = 4,348.38 : x
  2. Step 2: Convert to fraction form
    6,981.69/10,476.03 = 4,348.38/x
  3. Step 3: Cross multiply
    6,981.69x = 10,476.03 × 4,348.38
  4. Step 4: Simplify right side
    6,981.69x = 45,553,814.92
  5. Step 5: Solve for x
    x = 45,553,814.92/6,981.69
  6. Step 6: Final answer
    x = 6,524.75

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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.