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Finding the Fourth Proportional to 7,546.16, 10,413.50 and 4,188.96

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Solution

The fourth proportional to 7,546.16, 10,413.50 and 4,188.96 is: 5,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.16 : 10,413.50 = 4,188.96 : x
  2. Step 2: Convert to fraction form
    7,546.16/10,413.50 = 4,188.96/x
  3. Step 3: Cross multiply
    7,546.16x = 10,413.50 × 4,188.96
  4. Step 4: Simplify right side
    7,546.16x = 43,621,714.02
  5. Step 5: Solve for x
    x = 43,621,714.02/7,546.16
  6. Step 6: Final answer
    x = 5,780.65

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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.