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Finding the Fourth Proportional to 11,614.95, 16,028.70 and 6,309.87

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Solution

The fourth proportional to 11,614.95, 16,028.70 and 6,309.87 is: 8,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.95 : 16,028.70 = 6,309.87 : x
  2. Step 2: Convert to fraction form
    11,614.95/16,028.70 = 6,309.87/x
  3. Step 3: Cross multiply
    11,614.95x = 16,028.70 × 6,309.87
  4. Step 4: Simplify right side
    11,614.95x = 101,139,013.27
  5. Step 5: Solve for x
    x = 101,139,013.27/11,614.95
  6. Step 6: Final answer
    x = 8,707.66

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