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Finding the Fourth Proportional to 8,708.42, 12,014.67 and 5,724.02

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Solution

The fourth proportional to 8,708.42, 12,014.67 and 5,724.02 is: 7,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,708.42 : 12,014.67 = 5,724.02 : x
  2. Step 2: Convert to fraction form
    8,708.42/12,014.67 = 5,724.02/x
  3. Step 3: Cross multiply
    8,708.42x = 12,014.67 × 5,724.02
  4. Step 4: Simplify right side
    8,708.42x = 68,772,211.37
  5. Step 5: Solve for x
    x = 68,772,211.37/8,708.42
  6. Step 6: Final answer
    x = 7,897.21

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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.