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Finding the Fourth Proportional to 5,708.96, 8,563.44 and 5,611.76

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Solution

The fourth proportional to 5,708.96, 8,563.44 and 5,611.76 is: 8,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.96 : 8,563.44 = 5,611.76 : x
  2. Step 2: Convert to fraction form
    5,708.96/8,563.44 = 5,611.76/x
  3. Step 3: Cross multiply
    5,708.96x = 8,563.44 × 5,611.76
  4. Step 4: Simplify right side
    5,708.96x = 48,055,970.05
  5. Step 5: Solve for x
    x = 48,055,970.05/5,708.96
  6. Step 6: Final answer
    x = 8,417.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.