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Finding the Fourth Proportional to 7,926.46, 11,893.74 and 5,295.76

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Solution

The fourth proportional to 7,926.46, 11,893.74 and 5,295.76 is: 7,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.46 : 11,893.74 = 5,295.76 : x
  2. Step 2: Convert to fraction form
    7,926.46/11,893.74 = 5,295.76/x
  3. Step 3: Cross multiply
    7,926.46x = 11,893.74 × 5,295.76
  4. Step 4: Simplify right side
    7,926.46x = 62,986,392.54
  5. Step 5: Solve for x
    x = 62,986,392.54/7,926.46
  6. Step 6: Final answer
    x = 7,946.35

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