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Finding the Fourth Proportional to 8,164.36, 12,215.58 and 5,002.66

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Solution

The fourth proportional to 8,164.36, 12,215.58 and 5,002.66 is: 7,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.36 : 12,215.58 = 5,002.66 : x
  2. Step 2: Convert to fraction form
    8,164.36/12,215.58 = 5,002.66/x
  3. Step 3: Cross multiply
    8,164.36x = 12,215.58 × 5,002.66
  4. Step 4: Simplify right side
    8,164.36x = 61,110,393.44
  5. Step 5: Solve for x
    x = 61,110,393.44/8,164.36
  6. Step 6: Final answer
    x = 7,485.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.