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Finding the Fourth Proportional to 10,313.22, 14,226.66 and 8,902.74

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Solution

The fourth proportional to 10,313.22, 14,226.66 and 8,902.74 is: 12,280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.22 : 14,226.66 = 8,902.74 : x
  2. Step 2: Convert to fraction form
    10,313.22/14,226.66 = 8,902.74/x
  3. Step 3: Cross multiply
    10,313.22x = 14,226.66 × 8,902.74
  4. Step 4: Simplify right side
    10,313.22x = 126,656,255.05
  5. Step 5: Solve for x
    x = 126,656,255.05/10,313.22
  6. Step 6: Final answer
    x = 12,280.96

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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.