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Finding the Fourth Proportional to 8,712.66, 13,064.66 and 2,867.26

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Solution

The fourth proportional to 8,712.66, 13,064.66 and 2,867.26 is: 4,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.66 : 13,064.66 = 2,867.26 : x
  2. Step 2: Convert to fraction form
    8,712.66/13,064.66 = 2,867.26/x
  3. Step 3: Cross multiply
    8,712.66x = 13,064.66 × 2,867.26
  4. Step 4: Simplify right side
    8,712.66x = 37,459,777.03
  5. Step 5: Solve for x
    x = 37,459,777.03/8,712.66
  6. Step 6: Final answer
    x = 4,299.47

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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.