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Finding the Fourth Proportional to 11,202.52, 15,459.24 and 6,166.48

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Solution

The fourth proportional to 11,202.52, 15,459.24 and 6,166.48 is: 8,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.52 : 15,459.24 = 6,166.48 : x
  2. Step 2: Convert to fraction form
    11,202.52/15,459.24 = 6,166.48/x
  3. Step 3: Cross multiply
    11,202.52x = 15,459.24 × 6,166.48
  4. Step 4: Simplify right side
    11,202.52x = 95,329,094.28
  5. Step 5: Solve for x
    x = 95,329,094.28/11,202.52
  6. Step 6: Final answer
    x = 8,509.61

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