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Finding the Fourth Proportional to 10,190.80, 14,062.08 and 5,714.20

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Solution

The fourth proportional to 10,190.80, 14,062.08 and 5,714.20 is: 7,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.80 : 14,062.08 = 5,714.20 : x
  2. Step 2: Convert to fraction form
    10,190.80/14,062.08 = 5,714.20/x
  3. Step 3: Cross multiply
    10,190.80x = 14,062.08 × 5,714.20
  4. Step 4: Simplify right side
    10,190.80x = 80,353,537.54
  5. Step 5: Solve for x
    x = 80,353,537.54/10,190.80
  6. Step 6: Final answer
    x = 7,884.91

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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.