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Finding the Fourth Proportional to 11,216.31, 15,484.03 and 7,649.78

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Solution

The fourth proportional to 11,216.31, 15,484.03 and 7,649.78 is: 10,560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.31 : 15,484.03 = 7,649.78 : x
  2. Step 2: Convert to fraction form
    11,216.31/15,484.03 = 7,649.78/x
  3. Step 3: Cross multiply
    11,216.31x = 15,484.03 × 7,649.78
  4. Step 4: Simplify right side
    11,216.31x = 118,449,326.47
  5. Step 5: Solve for x
    x = 118,449,326.47/11,216.31
  6. Step 6: Final answer
    x = 10,560.46

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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.