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Finding the Fourth Proportional to 6,582.90, 9,865.82 and 4,926.44

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Solution

The fourth proportional to 6,582.90, 9,865.82 and 4,926.44 is: 7,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.90 : 9,865.82 = 4,926.44 : x
  2. Step 2: Convert to fraction form
    6,582.90/9,865.82 = 4,926.44/x
  3. Step 3: Cross multiply
    6,582.90x = 9,865.82 × 4,926.44
  4. Step 4: Simplify right side
    6,582.90x = 48,603,370.28
  5. Step 5: Solve for x
    x = 48,603,370.28/6,582.90
  6. Step 6: Final answer
    x = 7,383.28

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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.