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Finding the Fourth Proportional to 7,684.47, 11,534.81 and 5,500.71

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Solution

The fourth proportional to 7,684.47, 11,534.81 and 5,500.71 is: 8,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.47 : 11,534.81 = 5,500.71 : x
  2. Step 2: Convert to fraction form
    7,684.47/11,534.81 = 5,500.71/x
  3. Step 3: Cross multiply
    7,684.47x = 11,534.81 × 5,500.71
  4. Step 4: Simplify right side
    7,684.47x = 63,449,617.21
  5. Step 5: Solve for x
    x = 63,449,617.21/7,684.47
  6. Step 6: Final answer
    x = 8,256.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.