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Finding the Fourth Proportional to 10,107.79, 15,166.10 and 3,538.69

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Solution

The fourth proportional to 10,107.79, 15,166.10 and 3,538.69 is: 5,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.79 : 15,166.10 = 3,538.69 : x
  2. Step 2: Convert to fraction form
    10,107.79/15,166.10 = 3,538.69/x
  3. Step 3: Cross multiply
    10,107.79x = 15,166.10 × 3,538.69
  4. Step 4: Simplify right side
    10,107.79x = 53,668,126.41
  5. Step 5: Solve for x
    x = 53,668,126.41/10,107.79
  6. Step 6: Final answer
    x = 5,309.58

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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.