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Finding the Fourth Proportional to 7,760.25, 10,714.19 and 5,112.15

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Solution

The fourth proportional to 7,760.25, 10,714.19 and 5,112.15 is: 7,058.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.25 : 10,714.19 = 5,112.15 : x
  2. Step 2: Convert to fraction form
    7,760.25/10,714.19 = 5,112.15/x
  3. Step 3: Cross multiply
    7,760.25x = 10,714.19 × 5,112.15
  4. Step 4: Simplify right side
    7,760.25x = 54,772,546.41
  5. Step 5: Solve for x
    x = 54,772,546.41/7,760.25
  6. Step 6: Final answer
    x = 7,058.09

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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.