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Finding the Fourth Proportional to 7,946.61, 10,960.16 and 5,289.41

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Solution

The fourth proportional to 7,946.61, 10,960.16 and 5,289.41 is: 7,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.61 : 10,960.16 = 5,289.41 : x
  2. Step 2: Convert to fraction form
    7,946.61/10,960.16 = 5,289.41/x
  3. Step 3: Cross multiply
    7,946.61x = 10,960.16 × 5,289.41
  4. Step 4: Simplify right side
    7,946.61x = 57,972,698.66
  5. Step 5: Solve for x
    x = 57,972,698.66/7,946.61
  6. Step 6: Final answer
    x = 7,295.27

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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.