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Finding the Fourth Proportional to 7,929.78, 11,894.76 and 3,185.40

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Solution

The fourth proportional to 7,929.78, 11,894.76 and 3,185.40 is: 4,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.78 : 11,894.76 = 3,185.40 : x
  2. Step 2: Convert to fraction form
    7,929.78/11,894.76 = 3,185.40/x
  3. Step 3: Cross multiply
    7,929.78x = 11,894.76 × 3,185.40
  4. Step 4: Simplify right side
    7,929.78x = 37,889,568.50
  5. Step 5: Solve for x
    x = 37,889,568.50/7,929.78
  6. Step 6: Final answer
    x = 4,778.14

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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.