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Finding the Fourth Proportional to 6,719.64, 10,040.75 and 5,129.61

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Solution

The fourth proportional to 6,719.64, 10,040.75 and 5,129.61 is: 7,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.64 : 10,040.75 = 5,129.61 : x
  2. Step 2: Convert to fraction form
    6,719.64/10,040.75 = 5,129.61/x
  3. Step 3: Cross multiply
    6,719.64x = 10,040.75 × 5,129.61
  4. Step 4: Simplify right side
    6,719.64x = 51,505,131.61
  5. Step 5: Solve for x
    x = 51,505,131.61/6,719.64
  6. Step 6: Final answer
    x = 7,664.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.