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Finding the Fourth Proportional to 7,465.46, 11,198.19 and 5,300.33

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Solution

The fourth proportional to 7,465.46, 11,198.19 and 5,300.33 is: 7,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.46 : 11,198.19 = 5,300.33 : x
  2. Step 2: Convert to fraction form
    7,465.46/11,198.19 = 5,300.33/x
  3. Step 3: Cross multiply
    7,465.46x = 11,198.19 × 5,300.33
  4. Step 4: Simplify right side
    7,465.46x = 59,354,102.40
  5. Step 5: Solve for x
    x = 59,354,102.40/7,465.46
  6. Step 6: Final answer
    x = 7,950.50

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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.