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Finding the Fourth Proportional to 7,594.77, 11,390.31 and 3,209.85

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Solution

The fourth proportional to 7,594.77, 11,390.31 and 3,209.85 is: 4,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.77 : 11,390.31 = 3,209.85 : x
  2. Step 2: Convert to fraction form
    7,594.77/11,390.31 = 3,209.85/x
  3. Step 3: Cross multiply
    7,594.77x = 11,390.31 × 3,209.85
  4. Step 4: Simplify right side
    7,594.77x = 36,561,186.55
  5. Step 5: Solve for x
    x = 36,561,186.55/7,594.77
  6. Step 6: Final answer
    x = 4,814.00

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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.