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Finding the Fourth Proportional to 11,464.99, 17,216.58 and 7,740.78

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Solution

The fourth proportional to 11,464.99, 17,216.58 and 7,740.78 is: 11,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.99 : 17,216.58 = 7,740.78 : x
  2. Step 2: Convert to fraction form
    11,464.99/17,216.58 = 7,740.78/x
  3. Step 3: Cross multiply
    11,464.99x = 17,216.58 × 7,740.78
  4. Step 4: Simplify right side
    11,464.99x = 133,269,758.13
  5. Step 5: Solve for x
    x = 133,269,758.13/11,464.99
  6. Step 6: Final answer
    x = 11,624.06

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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.