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Finding the Fourth Proportional to 7,807.43, 11,692.38 and 4,465.55

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Solution

The fourth proportional to 7,807.43, 11,692.38 and 4,465.55 is: 6,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.43 : 11,692.38 = 4,465.55 : x
  2. Step 2: Convert to fraction form
    7,807.43/11,692.38 = 4,465.55/x
  3. Step 3: Cross multiply
    7,807.43x = 11,692.38 × 4,465.55
  4. Step 4: Simplify right side
    7,807.43x = 52,212,939.96
  5. Step 5: Solve for x
    x = 52,212,939.96/7,807.43
  6. Step 6: Final answer
    x = 6,687.59

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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.