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Finding the Fourth Proportional to 10,893.97, 15,034.01 and 7,712.94

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Solution

The fourth proportional to 10,893.97, 15,034.01 and 7,712.94 is: 10,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.97 : 15,034.01 = 7,712.94 : x
  2. Step 2: Convert to fraction form
    10,893.97/15,034.01 = 7,712.94/x
  3. Step 3: Cross multiply
    10,893.97x = 15,034.01 × 7,712.94
  4. Step 4: Simplify right side
    10,893.97x = 115,956,378.52
  5. Step 5: Solve for x
    x = 115,956,378.52/10,893.97
  6. Step 6: Final answer
    x = 10,644.09

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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.