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Finding the Fourth Proportional to 7,903.02, 11,855.34 and 2,564.88

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Solution

The fourth proportional to 7,903.02, 11,855.34 and 2,564.88 is: 3,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.02 : 11,855.34 = 2,564.88 : x
  2. Step 2: Convert to fraction form
    7,903.02/11,855.34 = 2,564.88/x
  3. Step 3: Cross multiply
    7,903.02x = 11,855.34 × 2,564.88
  4. Step 4: Simplify right side
    7,903.02x = 30,407,524.46
  5. Step 5: Solve for x
    x = 30,407,524.46/7,903.02
  6. Step 6: Final answer
    x = 3,847.58

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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.