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Finding the Fourth Proportional to 10,716.11, 14,787.74 and 5,935.74

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Solution

The fourth proportional to 10,716.11, 14,787.74 and 5,935.74 is: 8,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.11 : 14,787.74 = 5,935.74 : x
  2. Step 2: Convert to fraction form
    10,716.11/14,787.74 = 5,935.74/x
  3. Step 3: Cross multiply
    10,716.11x = 14,787.74 × 5,935.74
  4. Step 4: Simplify right side
    10,716.11x = 87,776,179.83
  5. Step 5: Solve for x
    x = 87,776,179.83/10,716.11
  6. Step 6: Final answer
    x = 8,191.05

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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.