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Finding the Fourth Proportional to 11,817.86, 17,730.08 and 5,154.94

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Solution

The fourth proportional to 11,817.86, 17,730.08 and 5,154.94 is: 7,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.86 : 17,730.08 = 5,154.94 : x
  2. Step 2: Convert to fraction form
    11,817.86/17,730.08 = 5,154.94/x
  3. Step 3: Cross multiply
    11,817.86x = 17,730.08 × 5,154.94
  4. Step 4: Simplify right side
    11,817.86x = 91,397,428.50
  5. Step 5: Solve for x
    x = 91,397,428.50/11,817.86
  6. Step 6: Final answer
    x = 7,733.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.