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Finding the Fourth Proportional to 10,902.53, 16,355.45 and 4,662.56

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Solution

The fourth proportional to 10,902.53, 16,355.45 and 4,662.56 is: 6,994.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.53 : 16,355.45 = 4,662.56 : x
  2. Step 2: Convert to fraction form
    10,902.53/16,355.45 = 4,662.56/x
  3. Step 3: Cross multiply
    10,902.53x = 16,355.45 × 4,662.56
  4. Step 4: Simplify right side
    10,902.53x = 76,258,319.50
  5. Step 5: Solve for x
    x = 76,258,319.50/10,902.53
  6. Step 6: Final answer
    x = 6,994.55

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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.