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Finding the Fourth Proportional to 7,803.75, 11,705.63 and 2,609.76

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Solution

The fourth proportional to 7,803.75, 11,705.63 and 2,609.76 is: 3,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.75 : 11,705.63 = 2,609.76 : x
  2. Step 2: Convert to fraction form
    7,803.75/11,705.63 = 2,609.76/x
  3. Step 3: Cross multiply
    7,803.75x = 11,705.63 × 2,609.76
  4. Step 4: Simplify right side
    7,803.75x = 30,548,871.90
  5. Step 5: Solve for x
    x = 30,548,871.90/7,803.75
  6. Step 6: Final answer
    x = 3,914.64

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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.