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Finding the Fourth Proportional to 7,574.86, 11,364.11 and 3,193.57

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Solution

The fourth proportional to 7,574.86, 11,364.11 and 3,193.57 is: 4,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.86 : 11,364.11 = 3,193.57 : x
  2. Step 2: Convert to fraction form
    7,574.86/11,364.11 = 3,193.57/x
  3. Step 3: Cross multiply
    7,574.86x = 11,364.11 × 3,193.57
  4. Step 4: Simplify right side
    7,574.86x = 36,292,080.77
  5. Step 5: Solve for x
    x = 36,292,080.77/7,574.86
  6. Step 6: Final answer
    x = 4,791.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.