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Finding the Fourth Proportional to 7,094.85, 10,642.25 and 2,164.48

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Solution

The fourth proportional to 7,094.85, 10,642.25 and 2,164.48 is: 3,246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.85 : 10,642.25 = 2,164.48 : x
  2. Step 2: Convert to fraction form
    7,094.85/10,642.25 = 2,164.48/x
  3. Step 3: Cross multiply
    7,094.85x = 10,642.25 × 2,164.48
  4. Step 4: Simplify right side
    7,094.85x = 23,034,873.25
  5. Step 5: Solve for x
    x = 23,034,873.25/7,094.85
  6. Step 6: Final answer
    x = 3,246.70

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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.