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Finding the Fourth Proportional to 8,347.42, 11,522.55 and 5,203.54

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Solution

The fourth proportional to 8,347.42, 11,522.55 and 5,203.54 is: 7,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.42 : 11,522.55 = 5,203.54 : x
  2. Step 2: Convert to fraction form
    8,347.42/11,522.55 = 5,203.54/x
  3. Step 3: Cross multiply
    8,347.42x = 11,522.55 × 5,203.54
  4. Step 4: Simplify right side
    8,347.42x = 59,958,049.83
  5. Step 5: Solve for x
    x = 59,958,049.83/8,347.42
  6. Step 6: Final answer
    x = 7,182.82

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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.