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Finding the Fourth Proportional to 7,497.80, 11,234.55 and 6,404.30

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Solution

The fourth proportional to 7,497.80, 11,234.55 and 6,404.30 is: 9,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.80 : 11,234.55 = 6,404.30 : x
  2. Step 2: Convert to fraction form
    7,497.80/11,234.55 = 6,404.30/x
  3. Step 3: Cross multiply
    7,497.80x = 11,234.55 × 6,404.30
  4. Step 4: Simplify right side
    7,497.80x = 71,949,428.57
  5. Step 5: Solve for x
    x = 71,949,428.57/7,497.80
  6. Step 6: Final answer
    x = 9,596.07

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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.