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Finding the Fourth Proportional to 10,160.71, 14,022.63 and 5,684.88

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Solution

The fourth proportional to 10,160.71, 14,022.63 and 5,684.88 is: 7,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.71 : 14,022.63 = 5,684.88 : x
  2. Step 2: Convert to fraction form
    10,160.71/14,022.63 = 5,684.88/x
  3. Step 3: Cross multiply
    10,160.71x = 14,022.63 × 5,684.88
  4. Step 4: Simplify right side
    10,160.71x = 79,716,982.57
  5. Step 5: Solve for x
    x = 79,716,982.57/10,160.71
  6. Step 6: Final answer
    x = 7,845.61

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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.