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Finding the Fourth Proportional to 7,611.60, 11,417.16 and 4,512.84

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Solution

The fourth proportional to 7,611.60, 11,417.16 and 4,512.84 is: 6,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,611.60 : 11,417.16 = 4,512.84 : x
  2. Step 2: Convert to fraction form
    7,611.60/11,417.16 = 4,512.84/x
  3. Step 3: Cross multiply
    7,611.60x = 11,417.16 × 4,512.84
  4. Step 4: Simplify right side
    7,611.60x = 51,523,816.33
  5. Step 5: Solve for x
    x = 51,523,816.33/7,611.60
  6. Step 6: Final answer
    x = 6,769.12

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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.