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Finding the Fourth Proportional to 7,649.76, 11,470.74 and 2,718.66

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Solution

The fourth proportional to 7,649.76, 11,470.74 and 2,718.66 is: 4,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.76 : 11,470.74 = 2,718.66 : x
  2. Step 2: Convert to fraction form
    7,649.76/11,470.74 = 2,718.66/x
  3. Step 3: Cross multiply
    7,649.76x = 11,470.74 × 2,718.66
  4. Step 4: Simplify right side
    7,649.76x = 31,185,042.01
  5. Step 5: Solve for x
    x = 31,185,042.01/7,649.76
  6. Step 6: Final answer
    x = 4,076.60

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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.