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Finding the Fourth Proportional to 10,951.68, 16,412.16 and 7,296

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Solution

The fourth proportional to 10,951.68, 16,412.16 and 7,296 is: 10,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.68 : 16,412.16 = 7,296 : x
  2. Step 2: Convert to fraction form
    10,951.68/16,412.16 = 7,296/x
  3. Step 3: Cross multiply
    10,951.68x = 16,412.16 × 7,296
  4. Step 4: Simplify right side
    10,951.68x = 119,743,119.36
  5. Step 5: Solve for x
    x = 119,743,119.36/10,951.68
  6. Step 6: Final answer
    x = 10,933.77

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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.