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Finding the Fourth Proportional to 7,649.32, 11,470.20 and 2,718.28

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Solution

The fourth proportional to 7,649.32, 11,470.20 and 2,718.28 is: 4,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.32 : 11,470.20 = 2,718.28 : x
  2. Step 2: Convert to fraction form
    7,649.32/11,470.20 = 2,718.28/x
  3. Step 3: Cross multiply
    7,649.32x = 11,470.20 × 2,718.28
  4. Step 4: Simplify right side
    7,649.32x = 31,179,215.26
  5. Step 5: Solve for x
    x = 31,179,215.26/7,649.32
  6. Step 6: Final answer
    x = 4,076.08

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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.