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Finding the Fourth Proportional to 7,433.38, 10,258.95 and 4,289.50

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Solution

The fourth proportional to 7,433.38, 10,258.95 and 4,289.50 is: 5,920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.38 : 10,258.95 = 4,289.50 : x
  2. Step 2: Convert to fraction form
    7,433.38/10,258.95 = 4,289.50/x
  3. Step 3: Cross multiply
    7,433.38x = 10,258.95 × 4,289.50
  4. Step 4: Simplify right side
    7,433.38x = 44,005,766.03
  5. Step 5: Solve for x
    x = 44,005,766.03/7,433.38
  6. Step 6: Final answer
    x = 5,920.02

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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.