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Finding the Fourth Proportional to 12,101.28, 16,688.67 and 7,847.91

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Solution

The fourth proportional to 12,101.28, 16,688.67 and 7,847.91 is: 10,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.28 : 16,688.67 = 7,847.91 : x
  2. Step 2: Convert to fraction form
    12,101.28/16,688.67 = 7,847.91/x
  3. Step 3: Cross multiply
    12,101.28x = 16,688.67 × 7,847.91
  4. Step 4: Simplify right side
    12,101.28x = 130,971,180.18
  5. Step 5: Solve for x
    x = 130,971,180.18/12,101.28
  6. Step 6: Final answer
    x = 10,822.92

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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.