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Finding the Fourth Proportional to 10,549.64, 14,556.66 and 7,992.20

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Solution

The fourth proportional to 10,549.64, 14,556.66 and 7,992.20 is: 11,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.64 : 14,556.66 = 7,992.20 : x
  2. Step 2: Convert to fraction form
    10,549.64/14,556.66 = 7,992.20/x
  3. Step 3: Cross multiply
    10,549.64x = 14,556.66 × 7,992.20
  4. Step 4: Simplify right side
    10,549.64x = 116,339,738.05
  5. Step 5: Solve for x
    x = 116,339,738.05/10,549.64
  6. Step 6: Final answer
    x = 11,027.84

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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.