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Finding the Fourth Proportional to 7,467.52, 11,197.44 and 4,008.96

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Solution

The fourth proportional to 7,467.52, 11,197.44 and 4,008.96 is: 6,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.52 : 11,197.44 = 4,008.96 : x
  2. Step 2: Convert to fraction form
    7,467.52/11,197.44 = 4,008.96/x
  3. Step 3: Cross multiply
    7,467.52x = 11,197.44 × 4,008.96
  4. Step 4: Simplify right side
    7,467.52x = 44,890,089.06
  5. Step 5: Solve for x
    x = 44,890,089.06/7,467.52
  6. Step 6: Final answer
    x = 6,011.38

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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.