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Finding the Fourth Proportional to 8,419.59, 11,618.23 and 8,136.63

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Solution

The fourth proportional to 8,419.59, 11,618.23 and 8,136.63 is: 11,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.59 : 11,618.23 = 8,136.63 : x
  2. Step 2: Convert to fraction form
    8,419.59/11,618.23 = 8,136.63/x
  3. Step 3: Cross multiply
    8,419.59x = 11,618.23 × 8,136.63
  4. Step 4: Simplify right side
    8,419.59x = 94,533,238.76
  5. Step 5: Solve for x
    x = 94,533,238.76/8,419.59
  6. Step 6: Final answer
    x = 11,227.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.