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Finding the Fourth Proportional to 7,585.37, 11,378.15 and 3,205.91

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Solution

The fourth proportional to 7,585.37, 11,378.15 and 3,205.91 is: 4,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.37 : 11,378.15 = 3,205.91 : x
  2. Step 2: Convert to fraction form
    7,585.37/11,378.15 = 3,205.91/x
  3. Step 3: Cross multiply
    7,585.37x = 11,378.15 × 3,205.91
  4. Step 4: Simplify right side
    7,585.37x = 36,477,251.95
  5. Step 5: Solve for x
    x = 36,477,251.95/7,585.37
  6. Step 6: Final answer
    x = 4,808.90

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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.