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Finding the Fourth Proportional to 10,821.96, 14,929.94 and 6,571.42

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Solution

The fourth proportional to 10,821.96, 14,929.94 and 6,571.42 is: 9,065.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.96 : 14,929.94 = 6,571.42 : x
  2. Step 2: Convert to fraction form
    10,821.96/14,929.94 = 6,571.42/x
  3. Step 3: Cross multiply
    10,821.96x = 14,929.94 × 6,571.42
  4. Step 4: Simplify right side
    10,821.96x = 98,110,906.31
  5. Step 5: Solve for x
    x = 98,110,906.31/10,821.96
  6. Step 6: Final answer
    x = 9,065.91

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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.