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Finding the Fourth Proportional to 7,444.63, 10,273.97 and 4,087.42

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Solution

The fourth proportional to 7,444.63, 10,273.97 and 4,087.42 is: 5,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.63 : 10,273.97 = 4,087.42 : x
  2. Step 2: Convert to fraction form
    7,444.63/10,273.97 = 4,087.42/x
  3. Step 3: Cross multiply
    7,444.63x = 10,273.97 × 4,087.42
  4. Step 4: Simplify right side
    7,444.63x = 41,994,030.46
  5. Step 5: Solve for x
    x = 41,994,030.46/7,444.63
  6. Step 6: Final answer
    x = 5,640.85

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