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Finding the Fourth Proportional to 8,983.17, 13,477.19 and 5,090.31

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Solution

The fourth proportional to 8,983.17, 13,477.19 and 5,090.31 is: 7,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.17 : 13,477.19 = 5,090.31 : x
  2. Step 2: Convert to fraction form
    8,983.17/13,477.19 = 5,090.31/x
  3. Step 3: Cross multiply
    8,983.17x = 13,477.19 × 5,090.31
  4. Step 4: Simplify right side
    8,983.17x = 68,603,049.58
  5. Step 5: Solve for x
    x = 68,603,049.58/8,983.17
  6. Step 6: Final answer
    x = 7,636.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.