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Finding the Fourth Proportional to 7,649.47, 11,471.91 and 2,718.46

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Solution

The fourth proportional to 7,649.47, 11,471.91 and 2,718.46 is: 4,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.47 : 11,471.91 = 2,718.46 : x
  2. Step 2: Convert to fraction form
    7,649.47/11,471.91 = 2,718.46/x
  3. Step 3: Cross multiply
    7,649.47x = 11,471.91 × 2,718.46
  4. Step 4: Simplify right side
    7,649.47x = 31,185,928.46
  5. Step 5: Solve for x
    x = 31,185,928.46/7,649.47
  6. Step 6: Final answer
    x = 4,076.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.