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Finding the Fourth Proportional to 10,190.10, 14,063.01 and 5,714.14

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Solution

The fourth proportional to 10,190.10, 14,063.01 and 5,714.14 is: 7,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.10 : 14,063.01 = 5,714.14 : x
  2. Step 2: Convert to fraction form
    10,190.10/14,063.01 = 5,714.14/x
  3. Step 3: Cross multiply
    10,190.10x = 14,063.01 × 5,714.14
  4. Step 4: Simplify right side
    10,190.10x = 80,357,972.80
  5. Step 5: Solve for x
    x = 80,357,972.80/10,190.10
  6. Step 6: Final answer
    x = 7,885.89

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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.