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Finding the Fourth Proportional to 10,267.68, 15,382.08 and 4,992.96

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Solution

The fourth proportional to 10,267.68, 15,382.08 and 4,992.96 is: 7,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.68 : 15,382.08 = 4,992.96 : x
  2. Step 2: Convert to fraction form
    10,267.68/15,382.08 = 4,992.96/x
  3. Step 3: Cross multiply
    10,267.68x = 15,382.08 × 4,992.96
  4. Step 4: Simplify right side
    10,267.68x = 76,802,110.16
  5. Step 5: Solve for x
    x = 76,802,110.16/10,267.68
  6. Step 6: Final answer
    x = 7,479.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.