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Finding the Fourth Proportional to 7,604.70, 11,409.48 and 3,223.32

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Solution

The fourth proportional to 7,604.70, 11,409.48 and 3,223.32 is: 4,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.70 : 11,409.48 = 3,223.32 : x
  2. Step 2: Convert to fraction form
    7,604.70/11,409.48 = 3,223.32/x
  3. Step 3: Cross multiply
    7,604.70x = 11,409.48 × 3,223.32
  4. Step 4: Simplify right side
    7,604.70x = 36,776,405.07
  5. Step 5: Solve for x
    x = 36,776,405.07/7,604.70
  6. Step 6: Final answer
    x = 4,836.01

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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.