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Finding the Fourth Proportional to 6,740.87, 10,100.34 and 4,783.50

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Solution

The fourth proportional to 6,740.87, 10,100.34 and 4,783.50 is: 7,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.87 : 10,100.34 = 4,783.50 : x
  2. Step 2: Convert to fraction form
    6,740.87/10,100.34 = 4,783.50/x
  3. Step 3: Cross multiply
    6,740.87x = 10,100.34 × 4,783.50
  4. Step 4: Simplify right side
    6,740.87x = 48,314,976.39
  5. Step 5: Solve for x
    x = 48,314,976.39/6,740.87
  6. Step 6: Final answer
    x = 7,167.47

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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.