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Finding the Fourth Proportional to 7,461.11, 11,170.05 and 5,619.98

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Solution

The fourth proportional to 7,461.11, 11,170.05 and 5,619.98 is: 8,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.11 : 11,170.05 = 5,619.98 : x
  2. Step 2: Convert to fraction form
    7,461.11/11,170.05 = 5,619.98/x
  3. Step 3: Cross multiply
    7,461.11x = 11,170.05 × 5,619.98
  4. Step 4: Simplify right side
    7,461.11x = 62,775,457.60
  5. Step 5: Solve for x
    x = 62,775,457.60/7,461.11
  6. Step 6: Final answer
    x = 8,413.69

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Why These Related Problems?

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