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Finding the Fourth Proportional to 10,649.41, 15,973.40 and 4,407.82

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Solution

The fourth proportional to 10,649.41, 15,973.40 and 4,407.82 is: 6,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.41 : 15,973.40 = 4,407.82 : x
  2. Step 2: Convert to fraction form
    10,649.41/15,973.40 = 4,407.82/x
  3. Step 3: Cross multiply
    10,649.41x = 15,973.40 × 4,407.82
  4. Step 4: Simplify right side
    10,649.41x = 70,407,843.07
  5. Step 5: Solve for x
    x = 70,407,843.07/10,649.41
  6. Step 6: Final answer
    x = 6,611.43

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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.