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Finding the Fourth Proportional to 10,272.24, 14,166 and 7,910.16

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Solution

The fourth proportional to 10,272.24, 14,166 and 7,910.16 is: 10,908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.24 : 14,166 = 7,910.16 : x
  2. Step 2: Convert to fraction form
    10,272.24/14,166 = 7,910.16/x
  3. Step 3: Cross multiply
    10,272.24x = 14,166 × 7,910.16
  4. Step 4: Simplify right side
    10,272.24x = 112,055,326.56
  5. Step 5: Solve for x
    x = 112,055,326.56/10,272.24
  6. Step 6: Final answer
    x = 10,908.56

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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.