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Finding the Fourth Proportional to 7,801.85, 11,677.32 and 4,238.58

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Solution

The fourth proportional to 7,801.85, 11,677.32 and 4,238.58 is: 6,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.85 : 11,677.32 = 4,238.58 : x
  2. Step 2: Convert to fraction form
    7,801.85/11,677.32 = 4,238.58/x
  3. Step 3: Cross multiply
    7,801.85x = 11,677.32 × 4,238.58
  4. Step 4: Simplify right side
    7,801.85x = 49,495,255.01
  5. Step 5: Solve for x
    x = 49,495,255.01/7,801.85
  6. Step 6: Final answer
    x = 6,344.04

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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.