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Finding the Fourth Proportional to 10,234.64, 14,131.74 and 7,992.62

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Solution

The fourth proportional to 10,234.64, 14,131.74 and 7,992.62 is: 11,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.64 : 14,131.74 = 7,992.62 : x
  2. Step 2: Convert to fraction form
    10,234.64/14,131.74 = 7,992.62/x
  3. Step 3: Cross multiply
    10,234.64x = 14,131.74 × 7,992.62
  4. Step 4: Simplify right side
    10,234.64x = 112,949,627.76
  5. Step 5: Solve for x
    x = 112,949,627.76/10,234.64
  6. Step 6: Final answer
    x = 11,036.01

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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.