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Finding the Fourth Proportional to 7,164.40, 10,746.60 and 6,629.80

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Solution

The fourth proportional to 7,164.40, 10,746.60 and 6,629.80 is: 9,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.40 : 10,746.60 = 6,629.80 : x
  2. Step 2: Convert to fraction form
    7,164.40/10,746.60 = 6,629.80/x
  3. Step 3: Cross multiply
    7,164.40x = 10,746.60 × 6,629.80
  4. Step 4: Simplify right side
    7,164.40x = 71,247,808.68
  5. Step 5: Solve for x
    x = 71,247,808.68/7,164.40
  6. Step 6: Final answer
    x = 9,944.70

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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.