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Finding the Fourth Proportional to 10,006.96, 15,008.36 and 3,766.82

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Solution

The fourth proportional to 10,006.96, 15,008.36 and 3,766.82 is: 5,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.96 : 15,008.36 = 3,766.82 : x
  2. Step 2: Convert to fraction form
    10,006.96/15,008.36 = 3,766.82/x
  3. Step 3: Cross multiply
    10,006.96x = 15,008.36 × 3,766.82
  4. Step 4: Simplify right side
    10,006.96x = 56,533,790.62
  5. Step 5: Solve for x
    x = 56,533,790.62/10,006.96
  6. Step 6: Final answer
    x = 5,649.45

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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.