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Finding the Fourth Proportional to 10,696.24, 14,756.34 and 8,334.28

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Solution

The fourth proportional to 10,696.24, 14,756.34 and 8,334.28 is: 11,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.24 : 14,756.34 = 8,334.28 : x
  2. Step 2: Convert to fraction form
    10,696.24/14,756.34 = 8,334.28/x
  3. Step 3: Cross multiply
    10,696.24x = 14,756.34 × 8,334.28
  4. Step 4: Simplify right side
    10,696.24x = 122,983,469.34
  5. Step 5: Solve for x
    x = 122,983,469.34/10,696.24
  6. Step 6: Final answer
    x = 11,497.82

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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.