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Finding the Fourth Proportional to 6,914.68, 10,372 and 1,720.55

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Solution

The fourth proportional to 6,914.68, 10,372 and 1,720.55 is: 2,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.68 : 10,372 = 1,720.55 : x
  2. Step 2: Convert to fraction form
    6,914.68/10,372 = 1,720.55/x
  3. Step 3: Cross multiply
    6,914.68x = 10,372 × 1,720.55
  4. Step 4: Simplify right side
    6,914.68x = 17,845,544.60
  5. Step 5: Solve for x
    x = 17,845,544.60/6,914.68
  6. Step 6: Final answer
    x = 2,580.82

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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.