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Finding the Fourth Proportional to 10,902.35, 16,355.18 and 4,662.38

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Solution

The fourth proportional to 10,902.35, 16,355.18 and 4,662.38 is: 6,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.35 : 16,355.18 = 4,662.38 : x
  2. Step 2: Convert to fraction form
    10,902.35/16,355.18 = 4,662.38/x
  3. Step 3: Cross multiply
    10,902.35x = 16,355.18 × 4,662.38
  4. Step 4: Simplify right side
    10,902.35x = 76,253,959.04
  5. Step 5: Solve for x
    x = 76,253,959.04/10,902.35
  6. Step 6: Final answer
    x = 6,994.27

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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.