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Finding the Fourth Proportional to 10,114.44, 13,957.98 and 5,638.48

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Solution

The fourth proportional to 10,114.44, 13,957.98 and 5,638.48 is: 7,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.44 : 13,957.98 = 5,638.48 : x
  2. Step 2: Convert to fraction form
    10,114.44/13,957.98 = 5,638.48/x
  3. Step 3: Cross multiply
    10,114.44x = 13,957.98 × 5,638.48
  4. Step 4: Simplify right side
    10,114.44x = 78,701,791.07
  5. Step 5: Solve for x
    x = 78,701,791.07/10,114.44
  6. Step 6: Final answer
    x = 7,781.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.