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Finding the Fourth Proportional to 9,910.68, 13,678.48 and 7,528.54

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Solution

The fourth proportional to 9,910.68, 13,678.48 and 7,528.54 is: 10,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.68 : 13,678.48 = 7,528.54 : x
  2. Step 2: Convert to fraction form
    9,910.68/13,678.48 = 7,528.54/x
  3. Step 3: Cross multiply
    9,910.68x = 13,678.48 × 7,528.54
  4. Step 4: Simplify right side
    9,910.68x = 102,978,983.82
  5. Step 5: Solve for x
    x = 102,978,983.82/9,910.68
  6. Step 6: Final answer
    x = 10,390.71

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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.