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Finding the Fourth Proportional to 10,801.60, 14,906.53 and 6,324.94

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Solution

The fourth proportional to 10,801.60, 14,906.53 and 6,324.94 is: 8,728.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.60 : 14,906.53 = 6,324.94 : x
  2. Step 2: Convert to fraction form
    10,801.60/14,906.53 = 6,324.94/x
  3. Step 3: Cross multiply
    10,801.60x = 14,906.53 × 6,324.94
  4. Step 4: Simplify right side
    10,801.60x = 94,282,907.86
  5. Step 5: Solve for x
    x = 94,282,907.86/10,801.60
  6. Step 6: Final answer
    x = 8,728.61

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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.