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Finding the Fourth Proportional to 10,825.68, 14,940.90 and 6,351.18

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Solution

The fourth proportional to 10,825.68, 14,940.90 and 6,351.18 is: 8,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.68 : 14,940.90 = 6,351.18 : x
  2. Step 2: Convert to fraction form
    10,825.68/14,940.90 = 6,351.18/x
  3. Step 3: Cross multiply
    10,825.68x = 14,940.90 × 6,351.18
  4. Step 4: Simplify right side
    10,825.68x = 94,892,345.26
  5. Step 5: Solve for x
    x = 94,892,345.26/10,825.68
  6. Step 6: Final answer
    x = 8,765.49

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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.