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Finding the Fourth Proportional to 7,104.38, 10,656.60 and 2,174

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Solution

The fourth proportional to 7,104.38, 10,656.60 and 2,174 is: 3,261.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.38 : 10,656.60 = 2,174 : x
  2. Step 2: Convert to fraction form
    7,104.38/10,656.60 = 2,174/x
  3. Step 3: Cross multiply
    7,104.38x = 10,656.60 × 2,174
  4. Step 4: Simplify right side
    7,104.38x = 23,167,448.40
  5. Step 5: Solve for x
    x = 23,167,448.40/7,104.38
  6. Step 6: Final answer
    x = 3,261.01

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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.