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Finding the Fourth Proportional to 11,604.39, 16,014.11 and 6,569.58

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Solution

The fourth proportional to 11,604.39, 16,014.11 and 6,569.58 is: 9,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.39 : 16,014.11 = 6,569.58 : x
  2. Step 2: Convert to fraction form
    11,604.39/16,014.11 = 6,569.58/x
  3. Step 3: Cross multiply
    11,604.39x = 16,014.11 × 6,569.58
  4. Step 4: Simplify right side
    11,604.39x = 105,205,958.94
  5. Step 5: Solve for x
    x = 105,205,958.94/11,604.39
  6. Step 6: Final answer
    x = 9,066.05

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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.