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Finding the Fourth Proportional to 8,666.83, 13,001.64 and 3,736.54

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Solution

The fourth proportional to 8,666.83, 13,001.64 and 3,736.54 is: 5,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.83 : 13,001.64 = 3,736.54 : x
  2. Step 2: Convert to fraction form
    8,666.83/13,001.64 = 3,736.54/x
  3. Step 3: Cross multiply
    8,666.83x = 13,001.64 × 3,736.54
  4. Step 4: Simplify right side
    8,666.83x = 48,581,147.93
  5. Step 5: Solve for x
    x = 48,581,147.93/8,666.83
  6. Step 6: Final answer
    x = 5,605.41

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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.