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Finding the Fourth Proportional to 10,190.84, 14,062.07 and 5,714.57

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Solution

The fourth proportional to 10,190.84, 14,062.07 and 5,714.57 is: 7,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.84 : 14,062.07 = 5,714.57 : x
  2. Step 2: Convert to fraction form
    10,190.84/14,062.07 = 5,714.57/x
  3. Step 3: Cross multiply
    10,190.84x = 14,062.07 × 5,714.57
  4. Step 4: Simplify right side
    10,190.84x = 80,358,732.80
  5. Step 5: Solve for x
    x = 80,358,732.80/10,190.84
  6. Step 6: Final answer
    x = 7,885.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.