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Finding the Fourth Proportional to 11,807.73, 17,707.95 and 5,239.44

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Solution

The fourth proportional to 11,807.73, 17,707.95 and 5,239.44 is: 7,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.73 : 17,707.95 = 5,239.44 : x
  2. Step 2: Convert to fraction form
    11,807.73/17,707.95 = 5,239.44/x
  3. Step 3: Cross multiply
    11,807.73x = 17,707.95 × 5,239.44
  4. Step 4: Simplify right side
    11,807.73x = 92,779,741.55
  5. Step 5: Solve for x
    x = 92,779,741.55/11,807.73
  6. Step 6: Final answer
    x = 7,857.54

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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.