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Finding the Fourth Proportional to 12,081.54, 16,657.09 and 7,825.08

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Solution

The fourth proportional to 12,081.54, 16,657.09 and 7,825.08 is: 10,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.54 : 16,657.09 = 7,825.08 : x
  2. Step 2: Convert to fraction form
    12,081.54/16,657.09 = 7,825.08/x
  3. Step 3: Cross multiply
    12,081.54x = 16,657.09 × 7,825.08
  4. Step 4: Simplify right side
    12,081.54x = 130,343,061.82
  5. Step 5: Solve for x
    x = 130,343,061.82/12,081.54
  6. Step 6: Final answer
    x = 10,788.61

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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.