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Finding the Fourth Proportional to 7,596.58, 11,393.95 and 2,049.50

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Solution

The fourth proportional to 7,596.58, 11,393.95 and 2,049.50 is: 3,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.58 : 11,393.95 = 2,049.50 : x
  2. Step 2: Convert to fraction form
    7,596.58/11,393.95 = 2,049.50/x
  3. Step 3: Cross multiply
    7,596.58x = 11,393.95 × 2,049.50
  4. Step 4: Simplify right side
    7,596.58x = 23,351,900.53
  5. Step 5: Solve for x
    x = 23,351,900.53/7,596.58
  6. Step 6: Final answer
    x = 3,074.00

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Why These Related Problems?

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