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Finding the Fourth Proportional to 6,139.80, 8,476.14 and 4,133.77

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Solution

The fourth proportional to 6,139.80, 8,476.14 and 4,133.77 is: 5,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.80 : 8,476.14 = 4,133.77 : x
  2. Step 2: Convert to fraction form
    6,139.80/8,476.14 = 4,133.77/x
  3. Step 3: Cross multiply
    6,139.80x = 8,476.14 × 4,133.77
  4. Step 4: Simplify right side
    6,139.80x = 35,038,413.25
  5. Step 5: Solve for x
    x = 35,038,413.25/6,139.80
  6. Step 6: Final answer
    x = 5,706.77

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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.