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Finding the Fourth Proportional to 7,954.71, 11,929.23 and 3,025.68

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Solution

The fourth proportional to 7,954.71, 11,929.23 and 3,025.68 is: 4,537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.71 : 11,929.23 = 3,025.68 : x
  2. Step 2: Convert to fraction form
    7,954.71/11,929.23 = 3,025.68/x
  3. Step 3: Cross multiply
    7,954.71x = 11,929.23 × 3,025.68
  4. Step 4: Simplify right side
    7,954.71x = 36,094,032.63
  5. Step 5: Solve for x
    x = 36,094,032.63/7,954.71
  6. Step 6: Final answer
    x = 4,537.44

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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.