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Finding the Fourth Proportional to 8,309.12, 11,466 and 4,583.04

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Solution

The fourth proportional to 8,309.12, 11,466 and 4,583.04 is: 6,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.12 : 11,466 = 4,583.04 : x
  2. Step 2: Convert to fraction form
    8,309.12/11,466 = 4,583.04/x
  3. Step 3: Cross multiply
    8,309.12x = 11,466 × 4,583.04
  4. Step 4: Simplify right side
    8,309.12x = 52,549,136.64
  5. Step 5: Solve for x
    x = 52,549,136.64/8,309.12
  6. Step 6: Final answer
    x = 6,324.27

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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.