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Finding the Fourth Proportional to 7,397.06, 10,209.12 and 5,413.10

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Solution

The fourth proportional to 7,397.06, 10,209.12 and 5,413.10 is: 7,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.06 : 10,209.12 = 5,413.10 : x
  2. Step 2: Convert to fraction form
    7,397.06/10,209.12 = 5,413.10/x
  3. Step 3: Cross multiply
    7,397.06x = 10,209.12 × 5,413.10
  4. Step 4: Simplify right side
    7,397.06x = 55,262,987.47
  5. Step 5: Solve for x
    x = 55,262,987.47/7,397.06
  6. Step 6: Final answer
    x = 7,470.94

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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.