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Finding the Fourth Proportional to 10,577.93, 15,866.28 and 3,182.22

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Solution

The fourth proportional to 10,577.93, 15,866.28 and 3,182.22 is: 4,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.93 : 15,866.28 = 3,182.22 : x
  2. Step 2: Convert to fraction form
    10,577.93/15,866.28 = 3,182.22/x
  3. Step 3: Cross multiply
    10,577.93x = 15,866.28 × 3,182.22
  4. Step 4: Simplify right side
    10,577.93x = 50,489,993.54
  5. Step 5: Solve for x
    x = 50,489,993.54/10,577.93
  6. Step 6: Final answer
    x = 4,773.15

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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.