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Finding the Fourth Proportional to 10,313.76, 14,236.66 and 6,122

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Solution

The fourth proportional to 10,313.76, 14,236.66 and 6,122 is: 8,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.76 : 14,236.66 = 6,122 : x
  2. Step 2: Convert to fraction form
    10,313.76/14,236.66 = 6,122/x
  3. Step 3: Cross multiply
    10,313.76x = 14,236.66 × 6,122
  4. Step 4: Simplify right side
    10,313.76x = 87,156,832.52
  5. Step 5: Solve for x
    x = 87,156,832.52/10,313.76
  6. Step 6: Final answer
    x = 8,450.54

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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.