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Finding the Fourth Proportional to 8,497.50, 11,724.77 and 5,139.66

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Solution

The fourth proportional to 8,497.50, 11,724.77 and 5,139.66 is: 7,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.50 : 11,724.77 = 5,139.66 : x
  2. Step 2: Convert to fraction form
    8,497.50/11,724.77 = 5,139.66/x
  3. Step 3: Cross multiply
    8,497.50x = 11,724.77 × 5,139.66
  4. Step 4: Simplify right side
    8,497.50x = 60,261,300.26
  5. Step 5: Solve for x
    x = 60,261,300.26/8,497.50
  6. Step 6: Final answer
    x = 7,091.65

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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.