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Finding the Fourth Proportional to 10,902.36, 16,355.70 and 4,662.30

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Solution

The fourth proportional to 10,902.36, 16,355.70 and 4,662.30 is: 6,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.36 : 16,355.70 = 4,662.30 : x
  2. Step 2: Convert to fraction form
    10,902.36/16,355.70 = 4,662.30/x
  3. Step 3: Cross multiply
    10,902.36x = 16,355.70 × 4,662.30
  4. Step 4: Simplify right side
    10,902.36x = 76,255,180.11
  5. Step 5: Solve for x
    x = 76,255,180.11/10,902.36
  6. Step 6: Final answer
    x = 6,994.37

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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.