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Finding the Fourth Proportional to 7,546.62, 11,304.86 and 5,895.42

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Solution

The fourth proportional to 7,546.62, 11,304.86 and 5,895.42 is: 8,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.62 : 11,304.86 = 5,895.42 : x
  2. Step 2: Convert to fraction form
    7,546.62/11,304.86 = 5,895.42/x
  3. Step 3: Cross multiply
    7,546.62x = 11,304.86 × 5,895.42
  4. Step 4: Simplify right side
    7,546.62x = 66,646,897.74
  5. Step 5: Solve for x
    x = 66,646,897.74/7,546.62
  6. Step 6: Final answer
    x = 8,831.36

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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.