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Finding the Fourth Proportional to 11,337.37, 17,005.14 and 7,165.21

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Solution

The fourth proportional to 11,337.37, 17,005.14 and 7,165.21 is: 10,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.37 : 17,005.14 = 7,165.21 : x
  2. Step 2: Convert to fraction form
    11,337.37/17,005.14 = 7,165.21/x
  3. Step 3: Cross multiply
    11,337.37x = 17,005.14 × 7,165.21
  4. Step 4: Simplify right side
    11,337.37x = 121,845,388.55
  5. Step 5: Solve for x
    x = 121,845,388.55/11,337.37
  6. Step 6: Final answer
    x = 10,747.24

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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.