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Finding the Fourth Proportional to 10,182.87, 14,050.94 and 5,706.27

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Solution

The fourth proportional to 10,182.87, 14,050.94 and 5,706.27 is: 7,873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.87 : 14,050.94 = 5,706.27 : x
  2. Step 2: Convert to fraction form
    10,182.87/14,050.94 = 5,706.27/x
  3. Step 3: Cross multiply
    10,182.87x = 14,050.94 × 5,706.27
  4. Step 4: Simplify right side
    10,182.87x = 80,178,428.86
  5. Step 5: Solve for x
    x = 80,178,428.86/10,182.87
  6. Step 6: Final answer
    x = 7,873.85

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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.