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Finding the Fourth Proportional to 7,467.60, 11,192.16 and 6,544.94

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Solution

The fourth proportional to 7,467.60, 11,192.16 and 6,544.94 is: 9,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.60 : 11,192.16 = 6,544.94 : x
  2. Step 2: Convert to fraction form
    7,467.60/11,192.16 = 6,544.94/x
  3. Step 3: Cross multiply
    7,467.60x = 11,192.16 × 6,544.94
  4. Step 4: Simplify right side
    7,467.60x = 73,252,015.67
  5. Step 5: Solve for x
    x = 73,252,015.67/7,467.60
  6. Step 6: Final answer
    x = 9,809.31

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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.