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Finding the Fourth Proportional to 10,924.44, 16,392 and 5,085.12

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Solution

The fourth proportional to 10,924.44, 16,392 and 5,085.12 is: 7,630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.44 : 16,392 = 5,085.12 : x
  2. Step 2: Convert to fraction form
    10,924.44/16,392 = 5,085.12/x
  3. Step 3: Cross multiply
    10,924.44x = 16,392 × 5,085.12
  4. Step 4: Simplify right side
    10,924.44x = 83,355,287.04
  5. Step 5: Solve for x
    x = 83,355,287.04/10,924.44
  6. Step 6: Final answer
    x = 7,630.17

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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.