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Finding the Fourth Proportional to 10,190.46, 14,063.42 and 5,714

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Solution

The fourth proportional to 10,190.46, 14,063.42 and 5,714 is: 7,885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.46 : 14,063.42 = 5,714 : x
  2. Step 2: Convert to fraction form
    10,190.46/14,063.42 = 5,714/x
  3. Step 3: Cross multiply
    10,190.46x = 14,063.42 × 5,714
  4. Step 4: Simplify right side
    10,190.46x = 80,358,381.88
  5. Step 5: Solve for x
    x = 80,358,381.88/10,190.46
  6. Step 6: Final answer
    x = 7,885.65

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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.