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Finding the Fourth Proportional to 7,803.27, 11,703.60 and 3,419.55

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Solution

The fourth proportional to 7,803.27, 11,703.60 and 3,419.55 is: 5,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.27 : 11,703.60 = 3,419.55 : x
  2. Step 2: Convert to fraction form
    7,803.27/11,703.60 = 3,419.55/x
  3. Step 3: Cross multiply
    7,803.27x = 11,703.60 × 3,419.55
  4. Step 4: Simplify right side
    7,803.27x = 40,021,045.38
  5. Step 5: Solve for x
    x = 40,021,045.38/7,803.27
  6. Step 6: Final answer
    x = 5,128.75

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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.