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Finding the Fourth Proportional to 7,838.60, 11,757.90 and 4,774.28

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Solution

The fourth proportional to 7,838.60, 11,757.90 and 4,774.28 is: 7,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.60 : 11,757.90 = 4,774.28 : x
  2. Step 2: Convert to fraction form
    7,838.60/11,757.90 = 4,774.28/x
  3. Step 3: Cross multiply
    7,838.60x = 11,757.90 × 4,774.28
  4. Step 4: Simplify right side
    7,838.60x = 56,135,506.81
  5. Step 5: Solve for x
    x = 56,135,506.81/7,838.60
  6. Step 6: Final answer
    x = 7,161.42

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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.