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Finding the Fourth Proportional to 6,750.46, 10,106.34 and 4,413.07

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Solution

The fourth proportional to 6,750.46, 10,106.34 and 4,413.07 is: 6,606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.46 : 10,106.34 = 4,413.07 : x
  2. Step 2: Convert to fraction form
    6,750.46/10,106.34 = 4,413.07/x
  3. Step 3: Cross multiply
    6,750.46x = 10,106.34 × 4,413.07
  4. Step 4: Simplify right side
    6,750.46x = 44,599,985.86
  5. Step 5: Solve for x
    x = 44,599,985.86/6,750.46
  6. Step 6: Final answer
    x = 6,606.96

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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.