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Finding the Fourth Proportional to 10,143.01, 13,996.96 and 5,893.48

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Solution

The fourth proportional to 10,143.01, 13,996.96 and 5,893.48 is: 8,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.01 : 13,996.96 = 5,893.48 : x
  2. Step 2: Convert to fraction form
    10,143.01/13,996.96 = 5,893.48/x
  3. Step 3: Cross multiply
    10,143.01x = 13,996.96 × 5,893.48
  4. Step 4: Simplify right side
    10,143.01x = 82,490,803.82
  5. Step 5: Solve for x
    x = 82,490,803.82/10,143.01
  6. Step 6: Final answer
    x = 8,132.77

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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.