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Finding the Fourth Proportional to 8,260.25, 11,398.95 and 4,723.38

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Solution

The fourth proportional to 8,260.25, 11,398.95 and 4,723.38 is: 6,518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.25 : 11,398.95 = 4,723.38 : x
  2. Step 2: Convert to fraction form
    8,260.25/11,398.95 = 4,723.38/x
  3. Step 3: Cross multiply
    8,260.25x = 11,398.95 × 4,723.38
  4. Step 4: Simplify right side
    8,260.25x = 53,841,572.45
  5. Step 5: Solve for x
    x = 53,841,572.45/8,260.25
  6. Step 6: Final answer
    x = 6,518.16

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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.