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Finding the Fourth Proportional to 11,891.81, 16,411.16 and 6,586.52

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Solution

The fourth proportional to 11,891.81, 16,411.16 and 6,586.52 is: 9,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.81 : 16,411.16 = 6,586.52 : x
  2. Step 2: Convert to fraction form
    11,891.81/16,411.16 = 6,586.52/x
  3. Step 3: Cross multiply
    11,891.81x = 16,411.16 × 6,586.52
  4. Step 4: Simplify right side
    11,891.81x = 108,092,330.92
  5. Step 5: Solve for x
    x = 108,092,330.92/11,891.81
  6. Step 6: Final answer
    x = 9,089.64

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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.