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Finding the Fourth Proportional to 11,634.60, 16,052.42 and 7,439.40

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Solution

The fourth proportional to 11,634.60, 16,052.42 and 7,439.40 is: 10,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.60 : 16,052.42 = 7,439.40 : x
  2. Step 2: Convert to fraction form
    11,634.60/16,052.42 = 7,439.40/x
  3. Step 3: Cross multiply
    11,634.60x = 16,052.42 × 7,439.40
  4. Step 4: Simplify right side
    11,634.60x = 119,420,373.35
  5. Step 5: Solve for x
    x = 119,420,373.35/11,634.60
  6. Step 6: Final answer
    x = 10,264.24

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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.