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Finding the Fourth Proportional to 7,413.90, 10,236.03 and 5,732.34

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Solution

The fourth proportional to 7,413.90, 10,236.03 and 5,732.34 is: 7,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.90 : 10,236.03 = 5,732.34 : x
  2. Step 2: Convert to fraction form
    7,413.90/10,236.03 = 5,732.34/x
  3. Step 3: Cross multiply
    7,413.90x = 10,236.03 × 5,732.34
  4. Step 4: Simplify right side
    7,413.90x = 58,676,404.21
  5. Step 5: Solve for x
    x = 58,676,404.21/7,413.90
  6. Step 6: Final answer
    x = 7,914.38

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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.