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Finding the Fourth Proportional to 10,112.58, 13,956.17 and 5,864.81

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Solution

The fourth proportional to 10,112.58, 13,956.17 and 5,864.81 is: 8,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.58 : 13,956.17 = 5,864.81 : x
  2. Step 2: Convert to fraction form
    10,112.58/13,956.17 = 5,864.81/x
  3. Step 3: Cross multiply
    10,112.58x = 13,956.17 × 5,864.81
  4. Step 4: Simplify right side
    10,112.58x = 81,850,186.27
  5. Step 5: Solve for x
    x = 81,850,186.27/10,112.58
  6. Step 6: Final answer
    x = 8,093.90

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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.