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Finding the Fourth Proportional to 11,715.52, 17,561.02 and 5,136.16

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Solution

The fourth proportional to 11,715.52, 17,561.02 and 5,136.16 is: 7,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,715.52 : 17,561.02 = 5,136.16 : x
  2. Step 2: Convert to fraction form
    11,715.52/17,561.02 = 5,136.16/x
  3. Step 3: Cross multiply
    11,715.52x = 17,561.02 × 5,136.16
  4. Step 4: Simplify right side
    11,715.52x = 90,196,208.48
  5. Step 5: Solve for x
    x = 90,196,208.48/11,715.52
  6. Step 6: Final answer
    x = 7,698.87

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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.