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Finding the Fourth Proportional to 7,957.98, 11,951.82 and 7,307.82

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Solution

The fourth proportional to 7,957.98, 11,951.82 and 7,307.82 is: 10,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.98 : 11,951.82 = 7,307.82 : x
  2. Step 2: Convert to fraction form
    7,957.98/11,951.82 = 7,307.82/x
  3. Step 3: Cross multiply
    7,957.98x = 11,951.82 × 7,307.82
  4. Step 4: Simplify right side
    7,957.98x = 87,341,749.23
  5. Step 5: Solve for x
    x = 87,341,749.23/7,957.98
  6. Step 6: Final answer
    x = 10,975.37

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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.