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Finding the Fourth Proportional to 7,458.38, 10,292.19 and 4,473.63

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Solution

The fourth proportional to 7,458.38, 10,292.19 and 4,473.63 is: 6,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.38 : 10,292.19 = 4,473.63 : x
  2. Step 2: Convert to fraction form
    7,458.38/10,292.19 = 4,473.63/x
  3. Step 3: Cross multiply
    7,458.38x = 10,292.19 × 4,473.63
  4. Step 4: Simplify right side
    7,458.38x = 46,043,449.95
  5. Step 5: Solve for x
    x = 46,043,449.95/7,458.38
  6. Step 6: Final answer
    x = 6,173.39

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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.