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Finding the Fourth Proportional to 8,235.23, 11,364.63 and 4,458.42

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Solution

The fourth proportional to 8,235.23, 11,364.63 and 4,458.42 is: 6,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.23 : 11,364.63 = 4,458.42 : x
  2. Step 2: Convert to fraction form
    8,235.23/11,364.63 = 4,458.42/x
  3. Step 3: Cross multiply
    8,235.23x = 11,364.63 × 4,458.42
  4. Step 4: Simplify right side
    8,235.23x = 50,668,293.68
  5. Step 5: Solve for x
    x = 50,668,293.68/8,235.23
  6. Step 6: Final answer
    x = 6,152.63

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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.