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Finding the Fourth Proportional to 8,216.23, 11,339.57 and 4,679.77

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Solution

The fourth proportional to 8,216.23, 11,339.57 and 4,679.77 is: 6,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.23 : 11,339.57 = 4,679.77 : x
  2. Step 2: Convert to fraction form
    8,216.23/11,339.57 = 4,679.77/x
  3. Step 3: Cross multiply
    8,216.23x = 11,339.57 × 4,679.77
  4. Step 4: Simplify right side
    8,216.23x = 53,066,579.50
  5. Step 5: Solve for x
    x = 53,066,579.50/8,216.23
  6. Step 6: Final answer
    x = 6,458.75

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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.