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Finding the Fourth Proportional to 11,499.84, 17,236.80 and 5,644.08

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Solution

The fourth proportional to 11,499.84, 17,236.80 and 5,644.08 is: 8,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.84 : 17,236.80 = 5,644.08 : x
  2. Step 2: Convert to fraction form
    11,499.84/17,236.80 = 5,644.08/x
  3. Step 3: Cross multiply
    11,499.84x = 17,236.80 × 5,644.08
  4. Step 4: Simplify right side
    11,499.84x = 97,285,878.14
  5. Step 5: Solve for x
    x = 97,285,878.14/11,499.84
  6. Step 6: Final answer
    x = 8,459.76

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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.