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Finding the Fourth Proportional to 6,906.49, 10,368.77 and 4,100.45

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Solution

The fourth proportional to 6,906.49, 10,368.77 and 4,100.45 is: 6,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.49 : 10,368.77 = 4,100.45 : x
  2. Step 2: Convert to fraction form
    6,906.49/10,368.77 = 4,100.45/x
  3. Step 3: Cross multiply
    6,906.49x = 10,368.77 × 4,100.45
  4. Step 4: Simplify right side
    6,906.49x = 42,516,550.60
  5. Step 5: Solve for x
    x = 42,516,550.60/6,906.49
  6. Step 6: Final answer
    x = 6,156.03

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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.