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Finding the Fourth Proportional to 7,164.28, 10,745.70 and 1,970.68

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Solution

The fourth proportional to 7,164.28, 10,745.70 and 1,970.68 is: 2,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.28 : 10,745.70 = 1,970.68 : x
  2. Step 2: Convert to fraction form
    7,164.28/10,745.70 = 1,970.68/x
  3. Step 3: Cross multiply
    7,164.28x = 10,745.70 × 1,970.68
  4. Step 4: Simplify right side
    7,164.28x = 21,176,336.08
  5. Step 5: Solve for x
    x = 21,176,336.08/7,164.28
  6. Step 6: Final answer
    x = 2,955.82

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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.