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Finding the Fourth Proportional to 8,117.58, 11,201.31 and 4,580.45

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Solution

The fourth proportional to 8,117.58, 11,201.31 and 4,580.45 is: 6,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.58 : 11,201.31 = 4,580.45 : x
  2. Step 2: Convert to fraction form
    8,117.58/11,201.31 = 4,580.45/x
  3. Step 3: Cross multiply
    8,117.58x = 11,201.31 × 4,580.45
  4. Step 4: Simplify right side
    8,117.58x = 51,306,984.38
  5. Step 5: Solve for x
    x = 51,306,984.38/8,117.58
  6. Step 6: Final answer
    x = 6,320.48

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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.