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Finding the Fourth Proportional to 7,547.13, 10,413.84 and 4,189.86

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Solution

The fourth proportional to 7,547.13, 10,413.84 and 4,189.86 is: 5,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.13 : 10,413.84 = 4,189.86 : x
  2. Step 2: Convert to fraction form
    7,547.13/10,413.84 = 4,189.86/x
  3. Step 3: Cross multiply
    7,547.13x = 10,413.84 × 4,189.86
  4. Step 4: Simplify right side
    7,547.13x = 43,632,531.66
  5. Step 5: Solve for x
    x = 43,632,531.66/7,547.13
  6. Step 6: Final answer
    x = 5,781.34

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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.