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Finding the Fourth Proportional to 6,232.79, 8,612.66 and 5,929.07

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Solution

The fourth proportional to 6,232.79, 8,612.66 and 5,929.07 is: 8,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.79 : 8,612.66 = 5,929.07 : x
  2. Step 2: Convert to fraction form
    6,232.79/8,612.66 = 5,929.07/x
  3. Step 3: Cross multiply
    6,232.79x = 8,612.66 × 5,929.07
  4. Step 4: Simplify right side
    6,232.79x = 51,065,034.38
  5. Step 5: Solve for x
    x = 51,065,034.38/6,232.79
  6. Step 6: Final answer
    x = 8,192.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.