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Finding the Fourth Proportional to 11,562.39, 15,956.22 and 6,257.32

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Solution

The fourth proportional to 11,562.39, 15,956.22 and 6,257.32 is: 8,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.39 : 15,956.22 = 6,257.32 : x
  2. Step 2: Convert to fraction form
    11,562.39/15,956.22 = 6,257.32/x
  3. Step 3: Cross multiply
    11,562.39x = 15,956.22 × 6,257.32
  4. Step 4: Simplify right side
    11,562.39x = 99,843,143.24
  5. Step 5: Solve for x
    x = 99,843,143.24/11,562.39
  6. Step 6: Final answer
    x = 8,635.16

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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.