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Finding the Fourth Proportional to 8,129.34, 11,218.26 and 4,772.10

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Solution

The fourth proportional to 8,129.34, 11,218.26 and 4,772.10 is: 6,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.34 : 11,218.26 = 4,772.10 : x
  2. Step 2: Convert to fraction form
    8,129.34/11,218.26 = 4,772.10/x
  3. Step 3: Cross multiply
    8,129.34x = 11,218.26 × 4,772.10
  4. Step 4: Simplify right side
    8,129.34x = 53,534,658.55
  5. Step 5: Solve for x
    x = 53,534,658.55/8,129.34
  6. Step 6: Final answer
    x = 6,585.36

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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.