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Finding the Fourth Proportional to 8,230.29, 11,358 and 4,693.56

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Solution

The fourth proportional to 8,230.29, 11,358 and 4,693.56 is: 6,477.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.29 : 11,358 = 4,693.56 : x
  2. Step 2: Convert to fraction form
    8,230.29/11,358 = 4,693.56/x
  3. Step 3: Cross multiply
    8,230.29x = 11,358 × 4,693.56
  4. Step 4: Simplify right side
    8,230.29x = 53,309,454.48
  5. Step 5: Solve for x
    x = 53,309,454.48/8,230.29
  6. Step 6: Final answer
    x = 6,477.23

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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.