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Finding the Fourth Proportional to 7,597.36, 11,406.64 and 3,902.72

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Solution

The fourth proportional to 7,597.36, 11,406.64 and 3,902.72 is: 5,859.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.36 : 11,406.64 = 3,902.72 : x
  2. Step 2: Convert to fraction form
    7,597.36/11,406.64 = 3,902.72/x
  3. Step 3: Cross multiply
    7,597.36x = 11,406.64 × 3,902.72
  4. Step 4: Simplify right side
    7,597.36x = 44,516,922.06
  5. Step 5: Solve for x
    x = 44,516,922.06/7,597.36
  6. Step 6: Final answer
    x = 5,859.53

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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.