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Finding the Fourth Proportional to 10,954.32, 16,435.80 and 4,794

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Solution

The fourth proportional to 10,954.32, 16,435.80 and 4,794 is: 7,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.32 : 16,435.80 = 4,794 : x
  2. Step 2: Convert to fraction form
    10,954.32/16,435.80 = 4,794/x
  3. Step 3: Cross multiply
    10,954.32x = 16,435.80 × 4,794
  4. Step 4: Simplify right side
    10,954.32x = 78,793,225.20
  5. Step 5: Solve for x
    x = 78,793,225.20/10,954.32
  6. Step 6: Final answer
    x = 7,192.89

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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.