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Finding the Fourth Proportional to 7,803.72, 11,706.22 and 2,538.60

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Solution

The fourth proportional to 7,803.72, 11,706.22 and 2,538.60 is: 3,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.72 : 11,706.22 = 2,538.60 : x
  2. Step 2: Convert to fraction form
    7,803.72/11,706.22 = 2,538.60/x
  3. Step 3: Cross multiply
    7,803.72x = 11,706.22 × 2,538.60
  4. Step 4: Simplify right side
    7,803.72x = 29,717,410.09
  5. Step 5: Solve for x
    x = 29,717,410.09/7,803.72
  6. Step 6: Final answer
    x = 3,808.11

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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.