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Finding the Fourth Proportional to 10,224.60, 14,104.68 and 6,867.78

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Solution

The fourth proportional to 10,224.60, 14,104.68 and 6,867.78 is: 9,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.60 : 14,104.68 = 6,867.78 : x
  2. Step 2: Convert to fraction form
    10,224.60/14,104.68 = 6,867.78/x
  3. Step 3: Cross multiply
    10,224.60x = 14,104.68 × 6,867.78
  4. Step 4: Simplify right side
    10,224.60x = 96,867,839.21
  5. Step 5: Solve for x
    x = 96,867,839.21/10,224.60
  6. Step 6: Final answer
    x = 9,474.00

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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.