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Finding the Fourth Proportional to 10,577.96, 15,867 and 3,182.48

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Solution

The fourth proportional to 10,577.96, 15,867 and 3,182.48 is: 4,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.96 : 15,867 = 3,182.48 : x
  2. Step 2: Convert to fraction form
    10,577.96/15,867 = 3,182.48/x
  3. Step 3: Cross multiply
    10,577.96x = 15,867 × 3,182.48
  4. Step 4: Simplify right side
    10,577.96x = 50,496,410.16
  5. Step 5: Solve for x
    x = 50,496,410.16/10,577.96
  6. Step 6: Final answer
    x = 4,773.74

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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.