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Finding the Fourth Proportional to 8,485.86, 11,706.21 and 5,686.50

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Solution

The fourth proportional to 8,485.86, 11,706.21 and 5,686.50 is: 7,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.86 : 11,706.21 = 5,686.50 : x
  2. Step 2: Convert to fraction form
    8,485.86/11,706.21 = 5,686.50/x
  3. Step 3: Cross multiply
    8,485.86x = 11,706.21 × 5,686.50
  4. Step 4: Simplify right side
    8,485.86x = 66,567,363.17
  5. Step 5: Solve for x
    x = 66,567,363.17/8,485.86
  6. Step 6: Final answer
    x = 7,844.50

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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.