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Finding the Fourth Proportional to 10,801.54, 16,201.77 and 4,228.93

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Solution

The fourth proportional to 10,801.54, 16,201.77 and 4,228.93 is: 6,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.54 : 16,201.77 = 4,228.93 : x
  2. Step 2: Convert to fraction form
    10,801.54/16,201.77 = 4,228.93/x
  3. Step 3: Cross multiply
    10,801.54x = 16,201.77 × 4,228.93
  4. Step 4: Simplify right side
    10,801.54x = 68,516,151.21
  5. Step 5: Solve for x
    x = 68,516,151.21/10,801.54
  6. Step 6: Final answer
    x = 6,343.18

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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.