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Finding the Fourth Proportional to 10,052.88, 13,866.81 and 6,649.86

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Solution

The fourth proportional to 10,052.88, 13,866.81 and 6,649.86 is: 9,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.88 : 13,866.81 = 6,649.86 : x
  2. Step 2: Convert to fraction form
    10,052.88/13,866.81 = 6,649.86/x
  3. Step 3: Cross multiply
    10,052.88x = 13,866.81 × 6,649.86
  4. Step 4: Simplify right side
    10,052.88x = 92,212,345.15
  5. Step 5: Solve for x
    x = 92,212,345.15/10,052.88
  6. Step 6: Final answer
    x = 9,172.73

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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.