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Finding the Fourth Proportional to 11,654.12, 16,078.18 and 7,240.68

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Solution

The fourth proportional to 11,654.12, 16,078.18 and 7,240.68 is: 9,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.12 : 16,078.18 = 7,240.68 : x
  2. Step 2: Convert to fraction form
    11,654.12/16,078.18 = 7,240.68/x
  3. Step 3: Cross multiply
    11,654.12x = 16,078.18 × 7,240.68
  4. Step 4: Simplify right side
    11,654.12x = 116,416,956.36
  5. Step 5: Solve for x
    x = 116,416,956.36/11,654.12
  6. Step 6: Final answer
    x = 9,989.34

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Why These Related Problems?

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