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Finding the Fourth Proportional to 10,612.91, 14,645.10 and 5,832.75

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Solution

The fourth proportional to 10,612.91, 14,645.10 and 5,832.75 is: 8,048.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.91 : 14,645.10 = 5,832.75 : x
  2. Step 2: Convert to fraction form
    10,612.91/14,645.10 = 5,832.75/x
  3. Step 3: Cross multiply
    10,612.91x = 14,645.10 × 5,832.75
  4. Step 4: Simplify right side
    10,612.91x = 85,421,179.57
  5. Step 5: Solve for x
    x = 85,421,179.57/10,612.91
  6. Step 6: Final answer
    x = 8,048.80

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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.