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Finding the Fourth Proportional to 7,902.04, 11,855 and 2,355.36

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Solution

The fourth proportional to 7,902.04, 11,855 and 2,355.36 is: 3,533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.04 : 11,855 = 2,355.36 : x
  2. Step 2: Convert to fraction form
    7,902.04/11,855 = 2,355.36/x
  3. Step 3: Cross multiply
    7,902.04x = 11,855 × 2,355.36
  4. Step 4: Simplify right side
    7,902.04x = 27,922,792.80
  5. Step 5: Solve for x
    x = 27,922,792.80/7,902.04
  6. Step 6: Final answer
    x = 3,533.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.