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Finding the Fourth Proportional to 5,111.10, 7,666.65 and 1,413.65

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Solution

The fourth proportional to 5,111.10, 7,666.65 and 1,413.65 is: 2,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.10 : 7,666.65 = 1,413.65 : x
  2. Step 2: Convert to fraction form
    5,111.10/7,666.65 = 1,413.65/x
  3. Step 3: Cross multiply
    5,111.10x = 7,666.65 × 1,413.65
  4. Step 4: Simplify right side
    5,111.10x = 10,837,978.94
  5. Step 5: Solve for x
    x = 10,837,978.94/5,111.10
  6. Step 6: Final answer
    x = 2,120.48

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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.