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Finding the Fourth Proportional to 8,506.89, 11,730.96 and 5,674.32

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Solution

The fourth proportional to 8,506.89, 11,730.96 and 5,674.32 is: 7,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.89 : 11,730.96 = 5,674.32 : x
  2. Step 2: Convert to fraction form
    8,506.89/11,730.96 = 5,674.32/x
  3. Step 3: Cross multiply
    8,506.89x = 11,730.96 × 5,674.32
  4. Step 4: Simplify right side
    8,506.89x = 66,565,220.95
  5. Step 5: Solve for x
    x = 66,565,220.95/8,506.89
  6. Step 6: Final answer
    x = 7,824.86

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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.