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Finding the Fourth Proportional to 11,609.88, 16,021.31 and 6,574.58

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Solution

The fourth proportional to 11,609.88, 16,021.31 and 6,574.58 is: 9,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.88 : 16,021.31 = 6,574.58 : x
  2. Step 2: Convert to fraction form
    11,609.88/16,021.31 = 6,574.58/x
  3. Step 3: Cross multiply
    11,609.88x = 16,021.31 × 6,574.58
  4. Step 4: Simplify right side
    11,609.88x = 105,333,458.50
  5. Step 5: Solve for x
    x = 105,333,458.50/11,609.88
  6. Step 6: Final answer
    x = 9,072.74

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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.