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Finding the Fourth Proportional to 8,406.66, 12,611.66 and 2,858.52

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Solution

The fourth proportional to 8,406.66, 12,611.66 and 2,858.52 is: 4,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.66 : 12,611.66 = 2,858.52 : x
  2. Step 2: Convert to fraction form
    8,406.66/12,611.66 = 2,858.52/x
  3. Step 3: Cross multiply
    8,406.66x = 12,611.66 × 2,858.52
  4. Step 4: Simplify right side
    8,406.66x = 36,050,682.34
  5. Step 5: Solve for x
    x = 36,050,682.34/8,406.66
  6. Step 6: Final answer
    x = 4,288.35

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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.