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Finding the Fourth Proportional to 7,258.86, 10,017.81 and 4,115.25

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Solution

The fourth proportional to 7,258.86, 10,017.81 and 4,115.25 is: 5,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.86 : 10,017.81 = 4,115.25 : x
  2. Step 2: Convert to fraction form
    7,258.86/10,017.81 = 4,115.25/x
  3. Step 3: Cross multiply
    7,258.86x = 10,017.81 × 4,115.25
  4. Step 4: Simplify right side
    7,258.86x = 41,225,792.60
  5. Step 5: Solve for x
    x = 41,225,792.60/7,258.86
  6. Step 6: Final answer
    x = 5,679.38

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Why These Related Problems?

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