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Finding the Fourth Proportional to 7,397.67, 10,208.76 and 4,413.63

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Solution

The fourth proportional to 7,397.67, 10,208.76 and 4,413.63 is: 6,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.67 : 10,208.76 = 4,413.63 : x
  2. Step 2: Convert to fraction form
    7,397.67/10,208.76 = 4,413.63/x
  3. Step 3: Cross multiply
    7,397.67x = 10,208.76 × 4,413.63
  4. Step 4: Simplify right side
    7,397.67x = 45,057,689.40
  5. Step 5: Solve for x
    x = 45,057,689.40/7,397.67
  6. Step 6: Final answer
    x = 6,090.79

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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.