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Finding the Fourth Proportional to 8,004.98, 11,045.81 and 4,647.76

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Solution

The fourth proportional to 8,004.98, 11,045.81 and 4,647.76 is: 6,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.98 : 11,045.81 = 4,647.76 : x
  2. Step 2: Convert to fraction form
    8,004.98/11,045.81 = 4,647.76/x
  3. Step 3: Cross multiply
    8,004.98x = 11,045.81 × 4,647.76
  4. Step 4: Simplify right side
    8,004.98x = 51,338,195.42
  5. Step 5: Solve for x
    x = 51,338,195.42/8,004.98
  6. Step 6: Final answer
    x = 6,413.28

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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.