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Finding the Fourth Proportional to 7,390.61, 10,198.95 and 4,556.84

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Solution

The fourth proportional to 7,390.61, 10,198.95 and 4,556.84 is: 6,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.61 : 10,198.95 = 4,556.84 : x
  2. Step 2: Convert to fraction form
    7,390.61/10,198.95 = 4,556.84/x
  3. Step 3: Cross multiply
    7,390.61x = 10,198.95 × 4,556.84
  4. Step 4: Simplify right side
    7,390.61x = 46,474,932.32
  5. Step 5: Solve for x
    x = 46,474,932.32/7,390.61
  6. Step 6: Final answer
    x = 6,288.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.