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Finding the Fourth Proportional to 8,206.66, 12,290.37 and 4,733.38

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Solution

The fourth proportional to 8,206.66, 12,290.37 and 4,733.38 is: 7,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.66 : 12,290.37 = 4,733.38 : x
  2. Step 2: Convert to fraction form
    8,206.66/12,290.37 = 4,733.38/x
  3. Step 3: Cross multiply
    8,206.66x = 12,290.37 × 4,733.38
  4. Step 4: Simplify right side
    8,206.66x = 58,174,991.55
  5. Step 5: Solve for x
    x = 58,174,991.55/8,206.66
  6. Step 6: Final answer
    x = 7,088.75

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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.