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Finding the Fourth Proportional to 8,147.17, 11,243.06 and 4,421.17

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Solution

The fourth proportional to 8,147.17, 11,243.06 and 4,421.17 is: 6,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.17 : 11,243.06 = 4,421.17 : x
  2. Step 2: Convert to fraction form
    8,147.17/11,243.06 = 4,421.17/x
  3. Step 3: Cross multiply
    8,147.17x = 11,243.06 × 4,421.17
  4. Step 4: Simplify right side
    8,147.17x = 49,707,457.47
  5. Step 5: Solve for x
    x = 49,707,457.47/8,147.17
  6. Step 6: Final answer
    x = 6,101.19

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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.