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Finding the Fourth Proportional to 7,164.88, 10,745.40 and 1,969.52

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Solution

The fourth proportional to 7,164.88, 10,745.40 and 1,969.52 is: 2,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.88 : 10,745.40 = 1,969.52 : x
  2. Step 2: Convert to fraction form
    7,164.88/10,745.40 = 1,969.52/x
  3. Step 3: Cross multiply
    7,164.88x = 10,745.40 × 1,969.52
  4. Step 4: Simplify right side
    7,164.88x = 21,163,280.21
  5. Step 5: Solve for x
    x = 21,163,280.21/7,164.88
  6. Step 6: Final answer
    x = 2,953.75

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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.