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Finding the Fourth Proportional to 7,433.92, 10,258.24 and 4,288

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Solution

The fourth proportional to 7,433.92, 10,258.24 and 4,288 is: 5,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.92 : 10,258.24 = 4,288 : x
  2. Step 2: Convert to fraction form
    7,433.92/10,258.24 = 4,288/x
  3. Step 3: Cross multiply
    7,433.92x = 10,258.24 × 4,288
  4. Step 4: Simplify right side
    7,433.92x = 43,987,333.12
  5. Step 5: Solve for x
    x = 43,987,333.12/7,433.92
  6. Step 6: Final answer
    x = 5,917.11

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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.