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Finding the Fourth Proportional to 8,117.74, 12,167.06 and 3,670.23

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Solution

The fourth proportional to 8,117.74, 12,167.06 and 3,670.23 is: 5,501.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.74 : 12,167.06 = 3,670.23 : x
  2. Step 2: Convert to fraction form
    8,117.74/12,167.06 = 3,670.23/x
  3. Step 3: Cross multiply
    8,117.74x = 12,167.06 × 3,670.23
  4. Step 4: Simplify right side
    8,117.74x = 44,655,917.80
  5. Step 5: Solve for x
    x = 44,655,917.80/8,117.74
  6. Step 6: Final answer
    x = 5,501.03

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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.