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Finding the Fourth Proportional to 11,889.84, 16,407.08 and 6,511.10

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Solution

The fourth proportional to 11,889.84, 16,407.08 and 6,511.10 is: 8,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.84 : 16,407.08 = 6,511.10 : x
  2. Step 2: Convert to fraction form
    11,889.84/16,407.08 = 6,511.10/x
  3. Step 3: Cross multiply
    11,889.84x = 16,407.08 × 6,511.10
  4. Step 4: Simplify right side
    11,889.84x = 106,828,138.59
  5. Step 5: Solve for x
    x = 106,828,138.59/11,889.84
  6. Step 6: Final answer
    x = 8,984.83

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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.