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Finding the Fourth Proportional to 11,477.47, 15,832.20 and 7,221.82

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Solution

The fourth proportional to 11,477.47, 15,832.20 and 7,221.82 is: 9,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.47 : 15,832.20 = 7,221.82 : x
  2. Step 2: Convert to fraction form
    11,477.47/15,832.20 = 7,221.82/x
  3. Step 3: Cross multiply
    11,477.47x = 15,832.20 × 7,221.82
  4. Step 4: Simplify right side
    11,477.47x = 114,337,298.60
  5. Step 5: Solve for x
    x = 114,337,298.60/11,477.47
  6. Step 6: Final answer
    x = 9,961.89

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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.