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Finding the Fourth Proportional to 8,230.16, 11,358.23 and 4,693.46

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Solution

The fourth proportional to 8,230.16, 11,358.23 and 4,693.46 is: 6,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.16 : 11,358.23 = 4,693.46 : x
  2. Step 2: Convert to fraction form
    8,230.16/11,358.23 = 4,693.46/x
  3. Step 3: Cross multiply
    8,230.16x = 11,358.23 × 4,693.46
  4. Step 4: Simplify right side
    8,230.16x = 53,309,398.18
  5. Step 5: Solve for x
    x = 53,309,398.18/8,230.16
  6. Step 6: Final answer
    x = 6,477.32

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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.