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Finding the Fourth Proportional to 10,334.92, 14,262.16 and 5,619.16

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Solution

The fourth proportional to 10,334.92, 14,262.16 and 5,619.16 is: 7,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334.92 : 14,262.16 = 5,619.16 : x
  2. Step 2: Convert to fraction form
    10,334.92/14,262.16 = 5,619.16/x
  3. Step 3: Cross multiply
    10,334.92x = 14,262.16 × 5,619.16
  4. Step 4: Simplify right side
    10,334.92x = 80,141,358.99
  5. Step 5: Solve for x
    x = 80,141,358.99/10,334.92
  6. Step 6: Final answer
    x = 7,754.42

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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.