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Finding the Fourth Proportional to 11,833.83, 16,330.05 and 6,527.61

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Solution

The fourth proportional to 11,833.83, 16,330.05 and 6,527.61 is: 9,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.83 : 16,330.05 = 6,527.61 : x
  2. Step 2: Convert to fraction form
    11,833.83/16,330.05 = 6,527.61/x
  3. Step 3: Cross multiply
    11,833.83x = 16,330.05 × 6,527.61
  4. Step 4: Simplify right side
    11,833.83x = 106,596,197.68
  5. Step 5: Solve for x
    x = 106,596,197.68/11,833.83
  6. Step 6: Final answer
    x = 9,007.75

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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.