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Finding the Fourth Proportional to 11,425.36, 15,768.76 and 6,950.50

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Solution

The fourth proportional to 11,425.36, 15,768.76 and 6,950.50 is: 9,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.36 : 15,768.76 = 6,950.50 : x
  2. Step 2: Convert to fraction form
    11,425.36/15,768.76 = 6,950.50/x
  3. Step 3: Cross multiply
    11,425.36x = 15,768.76 × 6,950.50
  4. Step 4: Simplify right side
    11,425.36x = 109,600,766.38
  5. Step 5: Solve for x
    x = 109,600,766.38/11,425.36
  6. Step 6: Final answer
    x = 9,592.76

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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.