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Finding the Fourth Proportional to 7,546.37, 11,335.95 and 6,562.22

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Solution

The fourth proportional to 7,546.37, 11,335.95 and 6,562.22 is: 9,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.37 : 11,335.95 = 6,562.22 : x
  2. Step 2: Convert to fraction form
    7,546.37/11,335.95 = 6,562.22/x
  3. Step 3: Cross multiply
    7,546.37x = 11,335.95 × 6,562.22
  4. Step 4: Simplify right side
    7,546.37x = 74,388,941.13
  5. Step 5: Solve for x
    x = 74,388,941.13/7,546.37
  6. Step 6: Final answer
    x = 9,857.59

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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.