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Finding the Fourth Proportional to 7,597.86, 11,395.48 and 2,049.96

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Solution

The fourth proportional to 7,597.86, 11,395.48 and 2,049.96 is: 3,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.86 : 11,395.48 = 2,049.96 : x
  2. Step 2: Convert to fraction form
    7,597.86/11,395.48 = 2,049.96/x
  3. Step 3: Cross multiply
    7,597.86x = 11,395.48 × 2,049.96
  4. Step 4: Simplify right side
    7,597.86x = 23,360,278.18
  5. Step 5: Solve for x
    x = 23,360,278.18/7,597.86
  6. Step 6: Final answer
    x = 3,074.59

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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.