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Finding the Fourth Proportional to 11,374.16, 15,694.54 and 6,336.76

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Solution

The fourth proportional to 11,374.16, 15,694.54 and 6,336.76 is: 8,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.16 : 15,694.54 = 6,336.76 : x
  2. Step 2: Convert to fraction form
    11,374.16/15,694.54 = 6,336.76/x
  3. Step 3: Cross multiply
    11,374.16x = 15,694.54 × 6,336.76
  4. Step 4: Simplify right side
    11,374.16x = 99,452,533.29
  5. Step 5: Solve for x
    x = 99,452,533.29/11,374.16
  6. Step 6: Final answer
    x = 8,743.73

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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.