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Finding the Fourth Proportional to 8,238.30, 11,368.86 and 4,461.50

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Solution

The fourth proportional to 8,238.30, 11,368.86 and 4,461.50 is: 6,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.30 : 11,368.86 = 4,461.50 : x
  2. Step 2: Convert to fraction form
    8,238.30/11,368.86 = 4,461.50/x
  3. Step 3: Cross multiply
    8,238.30x = 11,368.86 × 4,461.50
  4. Step 4: Simplify right side
    8,238.30x = 50,722,112.05
  5. Step 5: Solve for x
    x = 50,722,112.05/8,238.30
  6. Step 6: Final answer
    x = 6,156.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.