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Finding the Fourth Proportional to 10,715.25, 14,787.08 and 5,935.32

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Solution

The fourth proportional to 10,715.25, 14,787.08 and 5,935.32 is: 8,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.25 : 14,787.08 = 5,935.32 : x
  2. Step 2: Convert to fraction form
    10,715.25/14,787.08 = 5,935.32/x
  3. Step 3: Cross multiply
    10,715.25x = 14,787.08 × 5,935.32
  4. Step 4: Simplify right side
    10,715.25x = 87,766,051.67
  5. Step 5: Solve for x
    x = 87,766,051.67/10,715.25
  6. Step 6: Final answer
    x = 8,190.76

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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.