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Finding the Fourth Proportional to 11,486.42, 15,857.28 and 7,729.34

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Solution

The fourth proportional to 11,486.42, 15,857.28 and 7,729.34 is: 10,670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.42 : 15,857.28 = 7,729.34 : x
  2. Step 2: Convert to fraction form
    11,486.42/15,857.28 = 7,729.34/x
  3. Step 3: Cross multiply
    11,486.42x = 15,857.28 × 7,729.34
  4. Step 4: Simplify right side
    11,486.42x = 122,566,308.60
  5. Step 5: Solve for x
    x = 122,566,308.60/11,486.42
  6. Step 6: Final answer
    x = 10,670.54

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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.