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Finding the Fourth Proportional to 7,292.94, 10,939.86 and 4,951.95

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Solution

The fourth proportional to 7,292.94, 10,939.86 and 4,951.95 is: 7,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.94 : 10,939.86 = 4,951.95 : x
  2. Step 2: Convert to fraction form
    7,292.94/10,939.86 = 4,951.95/x
  3. Step 3: Cross multiply
    7,292.94x = 10,939.86 × 4,951.95
  4. Step 4: Simplify right side
    7,292.94x = 54,173,639.73
  5. Step 5: Solve for x
    x = 54,173,639.73/7,292.94
  6. Step 6: Final answer
    x = 7,428.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.