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Finding the Fourth Proportional to 7,855.36, 10,829.55 and 6,267.40

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Solution

The fourth proportional to 7,855.36, 10,829.55 and 6,267.40 is: 8,640.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.36 : 10,829.55 = 6,267.40 : x
  2. Step 2: Convert to fraction form
    7,855.36/10,829.55 = 6,267.40/x
  3. Step 3: Cross multiply
    7,855.36x = 10,829.55 × 6,267.40
  4. Step 4: Simplify right side
    7,855.36x = 67,873,121.67
  5. Step 5: Solve for x
    x = 67,873,121.67/7,855.36
  6. Step 6: Final answer
    x = 8,640.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.