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Finding the Fourth Proportional to 10,166.64, 15,249.96 and 2,870.64

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Solution

The fourth proportional to 10,166.64, 15,249.96 and 2,870.64 is: 4,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.64 : 15,249.96 = 2,870.64 : x
  2. Step 2: Convert to fraction form
    10,166.64/15,249.96 = 2,870.64/x
  3. Step 3: Cross multiply
    10,166.64x = 15,249.96 × 2,870.64
  4. Step 4: Simplify right side
    10,166.64x = 43,777,145.17
  5. Step 5: Solve for x
    x = 43,777,145.17/10,166.64
  6. Step 6: Final answer
    x = 4,305.96

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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.