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Finding the Fourth Proportional to 12,057.90, 16,637.21 and 7,278.62

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Solution

The fourth proportional to 12,057.90, 16,637.21 and 7,278.62 is: 10,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.90 : 16,637.21 = 7,278.62 : x
  2. Step 2: Convert to fraction form
    12,057.90/16,637.21 = 7,278.62/x
  3. Step 3: Cross multiply
    12,057.90x = 16,637.21 × 7,278.62
  4. Step 4: Simplify right side
    12,057.90x = 121,095,929.45
  5. Step 5: Solve for x
    x = 121,095,929.45/12,057.90
  6. Step 6: Final answer
    x = 10,042.87

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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.