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Finding the Fourth Proportional to 8,164.36, 12,246.54 and 5,390.38

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Solution

The fourth proportional to 8,164.36, 12,246.54 and 5,390.38 is: 8,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.36 : 12,246.54 = 5,390.38 : x
  2. Step 2: Convert to fraction form
    8,164.36/12,246.54 = 5,390.38/x
  3. Step 3: Cross multiply
    8,164.36x = 12,246.54 × 5,390.38
  4. Step 4: Simplify right side
    8,164.36x = 66,013,529.70
  5. Step 5: Solve for x
    x = 66,013,529.70/8,164.36
  6. Step 6: Final answer
    x = 8,085.57

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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.