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Finding the Fourth Proportional to 10,542.42, 15,812.42 and 2,751.84

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Solution

The fourth proportional to 10,542.42, 15,812.42 and 2,751.84 is: 4,127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.42 : 15,812.42 = 2,751.84 : x
  2. Step 2: Convert to fraction form
    10,542.42/15,812.42 = 2,751.84/x
  3. Step 3: Cross multiply
    10,542.42x = 15,812.42 × 2,751.84
  4. Step 4: Simplify right side
    10,542.42x = 43,513,236.09
  5. Step 5: Solve for x
    x = 43,513,236.09/10,542.42
  6. Step 6: Final answer
    x = 4,127.44

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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.