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Finding the Fourth Proportional to 10,284.70, 14,192.89 and 5,568.98

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Solution

The fourth proportional to 10,284.70, 14,192.89 and 5,568.98 is: 7,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.70 : 14,192.89 = 5,568.98 : x
  2. Step 2: Convert to fraction form
    10,284.70/14,192.89 = 5,568.98/x
  3. Step 3: Cross multiply
    10,284.70x = 14,192.89 × 5,568.98
  4. Step 4: Simplify right side
    10,284.70x = 79,039,920.55
  5. Step 5: Solve for x
    x = 79,039,920.55/10,284.70
  6. Step 6: Final answer
    x = 7,685.19

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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.