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Finding the Fourth Proportional to 11,837.54, 16,341.72 and 7,362.74

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Solution

The fourth proportional to 11,837.54, 16,341.72 and 7,362.74 is: 10,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.54 : 16,341.72 = 7,362.74 : x
  2. Step 2: Convert to fraction form
    11,837.54/16,341.72 = 7,362.74/x
  3. Step 3: Cross multiply
    11,837.54x = 16,341.72 × 7,362.74
  4. Step 4: Simplify right side
    11,837.54x = 120,319,753.80
  5. Step 5: Solve for x
    x = 120,319,753.80/11,837.54
  6. Step 6: Final answer
    x = 10,164.25

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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.