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Finding the Fourth Proportional to 10,284.62, 14,192.83 and 5,568.90

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Solution

The fourth proportional to 10,284.62, 14,192.83 and 5,568.90 is: 7,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.62 : 14,192.83 = 5,568.90 : x
  2. Step 2: Convert to fraction form
    10,284.62/14,192.83 = 5,568.90/x
  3. Step 3: Cross multiply
    10,284.62x = 14,192.83 × 5,568.90
  4. Step 4: Simplify right side
    10,284.62x = 79,038,404.73
  5. Step 5: Solve for x
    x = 79,038,404.73/10,284.62
  6. Step 6: Final answer
    x = 7,685.11

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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.