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Finding the Fourth Proportional to 11,539.38, 15,924.60 and 6,823.74

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Solution

The fourth proportional to 11,539.38, 15,924.60 and 6,823.74 is: 9,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.38 : 15,924.60 = 6,823.74 : x
  2. Step 2: Convert to fraction form
    11,539.38/15,924.60 = 6,823.74/x
  3. Step 3: Cross multiply
    11,539.38x = 15,924.60 × 6,823.74
  4. Step 4: Simplify right side
    11,539.38x = 108,665,330.00
  5. Step 5: Solve for x
    x = 108,665,330.00/11,539.38
  6. Step 6: Final answer
    x = 9,416.91

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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.