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Finding the Fourth Proportional to 7,591.38, 10,476.99 and 4,447.50

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Solution

The fourth proportional to 7,591.38, 10,476.99 and 4,447.50 is: 6,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.38 : 10,476.99 = 4,447.50 : x
  2. Step 2: Convert to fraction form
    7,591.38/10,476.99 = 4,447.50/x
  3. Step 3: Cross multiply
    7,591.38x = 10,476.99 × 4,447.50
  4. Step 4: Simplify right side
    7,591.38x = 46,596,413.03
  5. Step 5: Solve for x
    x = 46,596,413.03/7,591.38
  6. Step 6: Final answer
    x = 6,138.07

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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.