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Finding the Fourth Proportional to 10,190.69, 14,063.72 and 5,714.22

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Solution

The fourth proportional to 10,190.69, 14,063.72 and 5,714.22 is: 7,885.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.69 : 14,063.72 = 5,714.22 : x
  2. Step 2: Convert to fraction form
    10,190.69/14,063.72 = 5,714.22/x
  3. Step 3: Cross multiply
    10,190.69x = 14,063.72 × 5,714.22
  4. Step 4: Simplify right side
    10,190.69x = 80,363,161.53
  5. Step 5: Solve for x
    x = 80,363,161.53/10,190.69
  6. Step 6: Final answer
    x = 7,885.94

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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.