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Finding the Fourth Proportional to 8,413.32, 12,626.64 and 4,714.86

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Solution

The fourth proportional to 8,413.32, 12,626.64 and 4,714.86 is: 7,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.32 : 12,626.64 = 4,714.86 : x
  2. Step 2: Convert to fraction form
    8,413.32/12,626.64 = 4,714.86/x
  3. Step 3: Cross multiply
    8,413.32x = 12,626.64 × 4,714.86
  4. Step 4: Simplify right side
    8,413.32x = 59,532,839.87
  5. Step 5: Solve for x
    x = 59,532,839.87/8,413.32
  6. Step 6: Final answer
    x = 7,076.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.