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Finding the Fourth Proportional to 6,783.95, 10,172.44 and 4,011.47

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Solution

The fourth proportional to 6,783.95, 10,172.44 and 4,011.47 is: 6,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.95 : 10,172.44 = 4,011.47 : x
  2. Step 2: Convert to fraction form
    6,783.95/10,172.44 = 4,011.47/x
  3. Step 3: Cross multiply
    6,783.95x = 10,172.44 × 4,011.47
  4. Step 4: Simplify right side
    6,783.95x = 40,806,464.84
  5. Step 5: Solve for x
    x = 40,806,464.84/6,783.95
  6. Step 6: Final answer
    x = 6,015.15

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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.