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Finding the Fourth Proportional to 10,182.01, 14,048.51 and 5,874.05

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Solution

The fourth proportional to 10,182.01, 14,048.51 and 5,874.05 is: 8,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.01 : 14,048.51 = 5,874.05 : x
  2. Step 2: Convert to fraction form
    10,182.01/14,048.51 = 5,874.05/x
  3. Step 3: Cross multiply
    10,182.01x = 14,048.51 × 5,874.05
  4. Step 4: Simplify right side
    10,182.01x = 82,521,620.80
  5. Step 5: Solve for x
    x = 82,521,620.80/10,182.01
  6. Step 6: Final answer
    x = 8,104.65

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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.