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Finding the Fourth Proportional to 11,678.01, 17,507.07 and 5,099.28

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Solution

The fourth proportional to 11,678.01, 17,507.07 and 5,099.28 is: 7,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.01 : 17,507.07 = 5,099.28 : x
  2. Step 2: Convert to fraction form
    11,678.01/17,507.07 = 5,099.28/x
  3. Step 3: Cross multiply
    11,678.01x = 17,507.07 × 5,099.28
  4. Step 4: Simplify right side
    11,678.01x = 89,273,451.91
  5. Step 5: Solve for x
    x = 89,273,451.91/11,678.01
  6. Step 6: Final answer
    x = 7,644.58

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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.