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Finding the Fourth Proportional to 11,102.68, 16,649.14 and 5,907.32

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Solution

The fourth proportional to 11,102.68, 16,649.14 and 5,907.32 is: 8,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.68 : 16,649.14 = 5,907.32 : x
  2. Step 2: Convert to fraction form
    11,102.68/16,649.14 = 5,907.32/x
  3. Step 3: Cross multiply
    11,102.68x = 16,649.14 × 5,907.32
  4. Step 4: Simplify right side
    11,102.68x = 98,351,797.70
  5. Step 5: Solve for x
    x = 98,351,797.70/11,102.68
  6. Step 6: Final answer
    x = 8,858.38

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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.