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Finding the Fourth Proportional to 10,166.69, 15,237.28 and 5,486.51

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Solution

The fourth proportional to 10,166.69, 15,237.28 and 5,486.51 is: 8,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.69 : 15,237.28 = 5,486.51 : x
  2. Step 2: Convert to fraction form
    10,166.69/15,237.28 = 5,486.51/x
  3. Step 3: Cross multiply
    10,166.69x = 15,237.28 × 5,486.51
  4. Step 4: Simplify right side
    10,166.69x = 83,599,489.09
  5. Step 5: Solve for x
    x = 83,599,489.09/10,166.69
  6. Step 6: Final answer
    x = 8,222.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.