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Finding the Fourth Proportional to 10,146.42, 15,219.64 and 2,750.88

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Solution

The fourth proportional to 10,146.42, 15,219.64 and 2,750.88 is: 4,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.42 : 15,219.64 = 2,750.88 : x
  2. Step 2: Convert to fraction form
    10,146.42/15,219.64 = 2,750.88/x
  3. Step 3: Cross multiply
    10,146.42x = 15,219.64 × 2,750.88
  4. Step 4: Simplify right side
    10,146.42x = 41,867,403.28
  5. Step 5: Solve for x
    x = 41,867,403.28/10,146.42
  6. Step 6: Final answer
    x = 4,126.32

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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.