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Finding the Fourth Proportional to 11,931.78, 16,462.53 and 7,460.09

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Solution

The fourth proportional to 11,931.78, 16,462.53 and 7,460.09 is: 10,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.78 : 16,462.53 = 7,460.09 : x
  2. Step 2: Convert to fraction form
    11,931.78/16,462.53 = 7,460.09/x
  3. Step 3: Cross multiply
    11,931.78x = 16,462.53 × 7,460.09
  4. Step 4: Simplify right side
    11,931.78x = 122,811,873.12
  5. Step 5: Solve for x
    x = 122,811,873.12/11,931.78
  6. Step 6: Final answer
    x = 10,292.84

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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.