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Finding the Fourth Proportional to 11,318.68, 15,629.10 and 7,346.62

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Solution

The fourth proportional to 11,318.68, 15,629.10 and 7,346.62 is: 10,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318.68 : 15,629.10 = 7,346.62 : x
  2. Step 2: Convert to fraction form
    11,318.68/15,629.10 = 7,346.62/x
  3. Step 3: Cross multiply
    11,318.68x = 15,629.10 × 7,346.62
  4. Step 4: Simplify right side
    11,318.68x = 114,821,058.64
  5. Step 5: Solve for x
    x = 114,821,058.64/11,318.68
  6. Step 6: Final answer
    x = 10,144.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.