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Finding the Fourth Proportional to 7,258.05, 10,017.09 and 4,114.44

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Solution

The fourth proportional to 7,258.05, 10,017.09 and 4,114.44 is: 5,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.05 : 10,017.09 = 4,114.44 : x
  2. Step 2: Convert to fraction form
    7,258.05/10,017.09 = 4,114.44/x
  3. Step 3: Cross multiply
    7,258.05x = 10,017.09 × 4,114.44
  4. Step 4: Simplify right side
    7,258.05x = 41,214,715.78
  5. Step 5: Solve for x
    x = 41,214,715.78/7,258.05
  6. Step 6: Final answer
    x = 5,678.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.