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Finding the Fourth Proportional to 8,682, 13,029.83 and 4,465.08

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Solution

The fourth proportional to 8,682, 13,029.83 and 4,465.08 is: 6,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682 : 13,029.83 = 4,465.08 : x
  2. Step 2: Convert to fraction form
    8,682/13,029.83 = 4,465.08/x
  3. Step 3: Cross multiply
    8,682x = 13,029.83 × 4,465.08
  4. Step 4: Simplify right side
    8,682x = 58,179,233.34
  5. Step 5: Solve for x
    x = 58,179,233.34/8,682
  6. Step 6: Final answer
    x = 6,701.13

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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.