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Finding the Fourth Proportional to 6,783.13, 10,172.26 and 5,325.13

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Solution

The fourth proportional to 6,783.13, 10,172.26 and 5,325.13 is: 7,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.13 : 10,172.26 = 5,325.13 : x
  2. Step 2: Convert to fraction form
    6,783.13/10,172.26 = 5,325.13/x
  3. Step 3: Cross multiply
    6,783.13x = 10,172.26 × 5,325.13
  4. Step 4: Simplify right side
    6,783.13x = 54,168,606.89
  5. Step 5: Solve for x
    x = 54,168,606.89/6,783.13
  6. Step 6: Final answer
    x = 7,985.78

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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.