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Finding the Fourth Proportional to 11,327.58, 15,626.61 and 7,349.94

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Solution

The fourth proportional to 11,327.58, 15,626.61 and 7,349.94 is: 10,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.58 : 15,626.61 = 7,349.94 : x
  2. Step 2: Convert to fraction form
    11,327.58/15,626.61 = 7,349.94/x
  3. Step 3: Cross multiply
    11,327.58x = 15,626.61 × 7,349.94
  4. Step 4: Simplify right side
    11,327.58x = 114,854,645.90
  5. Step 5: Solve for x
    x = 114,854,645.90/11,327.58
  6. Step 6: Final answer
    x = 10,139.38

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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.