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Finding the Fourth Proportional to 11,887.66, 16,405.22 and 6,510.33

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Solution

The fourth proportional to 11,887.66, 16,405.22 and 6,510.33 is: 8,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.66 : 16,405.22 = 6,510.33 : x
  2. Step 2: Convert to fraction form
    11,887.66/16,405.22 = 6,510.33/x
  3. Step 3: Cross multiply
    11,887.66x = 16,405.22 × 6,510.33
  4. Step 4: Simplify right side
    11,887.66x = 106,803,395.92
  5. Step 5: Solve for x
    x = 106,803,395.92/11,887.66
  6. Step 6: Final answer
    x = 8,984.39

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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.