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Finding the Fourth Proportional to 11,891.52, 16,410.84 and 6,586.32

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Solution

The fourth proportional to 11,891.52, 16,410.84 and 6,586.32 is: 9,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.52 : 16,410.84 = 6,586.32 : x
  2. Step 2: Convert to fraction form
    11,891.52/16,410.84 = 6,586.32/x
  3. Step 3: Cross multiply
    11,891.52x = 16,410.84 × 6,586.32
  4. Step 4: Simplify right side
    11,891.52x = 108,087,043.71
  5. Step 5: Solve for x
    x = 108,087,043.71/11,891.52
  6. Step 6: Final answer
    x = 9,089.42

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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.