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Finding the Fourth Proportional to 10,344.39, 15,506.95 and 3,769.08

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Solution

The fourth proportional to 10,344.39, 15,506.95 and 3,769.08 is: 5,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.39 : 15,506.95 = 3,769.08 : x
  2. Step 2: Convert to fraction form
    10,344.39/15,506.95 = 3,769.08/x
  3. Step 3: Cross multiply
    10,344.39x = 15,506.95 × 3,769.08
  4. Step 4: Simplify right side
    10,344.39x = 58,446,935.11
  5. Step 5: Solve for x
    x = 58,446,935.11/10,344.39
  6. Step 6: Final answer
    x = 5,650.11

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Why These Related Problems?

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