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Finding the Fourth Proportional to 11,615.00, 16,028.61 and 6,309.77

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Solution

The fourth proportional to 11,615.00, 16,028.61 and 6,309.77 is: 8,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.00 : 16,028.61 = 6,309.77 : x
  2. Step 2: Convert to fraction form
    11,615.00/16,028.61 = 6,309.77/x
  3. Step 3: Cross multiply
    11,615.00x = 16,028.61 × 6,309.77
  4. Step 4: Simplify right side
    11,615.00x = 101,136,762.38
  5. Step 5: Solve for x
    x = 101,136,762.38/11,615.00
  6. Step 6: Final answer
    x = 8,707.43

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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.