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Finding the Fourth Proportional to 10,376.69, 15,568.94 and 6,219.68

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Solution

The fourth proportional to 10,376.69, 15,568.94 and 6,219.68 is: 9,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.69 : 15,568.94 = 6,219.68 : x
  2. Step 2: Convert to fraction form
    10,376.69/15,568.94 = 6,219.68/x
  3. Step 3: Cross multiply
    10,376.69x = 15,568.94 × 6,219.68
  4. Step 4: Simplify right side
    10,376.69x = 96,833,715.80
  5. Step 5: Solve for x
    x = 96,833,715.80/10,376.69
  6. Step 6: Final answer
    x = 9,331.85

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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.