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Finding the Fourth Proportional to 11,609.74, 16,022.43 and 6,574.84

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Solution

The fourth proportional to 11,609.74, 16,022.43 and 6,574.84 is: 9,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.74 : 16,022.43 = 6,574.84 : x
  2. Step 2: Convert to fraction form
    11,609.74/16,022.43 = 6,574.84/x
  3. Step 3: Cross multiply
    11,609.74x = 16,022.43 × 6,574.84
  4. Step 4: Simplify right side
    11,609.74x = 105,344,913.66
  5. Step 5: Solve for x
    x = 105,344,913.66/11,609.74
  6. Step 6: Final answer
    x = 9,073.84

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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.