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Finding the Fourth Proportional to 7,338.95, 11,007.39 and 2,407.95

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Solution

The fourth proportional to 7,338.95, 11,007.39 and 2,407.95 is: 3,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.95 : 11,007.39 = 2,407.95 : x
  2. Step 2: Convert to fraction form
    7,338.95/11,007.39 = 2,407.95/x
  3. Step 3: Cross multiply
    7,338.95x = 11,007.39 × 2,407.95
  4. Step 4: Simplify right side
    7,338.95x = 26,505,235.72
  5. Step 5: Solve for x
    x = 26,505,235.72/7,338.95
  6. Step 6: Final answer
    x = 3,611.58

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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.