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Finding the Fourth Proportional to 11,648.36, 16,069.38 and 7,460.84

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Solution

The fourth proportional to 11,648.36, 16,069.38 and 7,460.84 is: 10,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.36 : 16,069.38 = 7,460.84 : x
  2. Step 2: Convert to fraction form
    11,648.36/16,069.38 = 7,460.84/x
  3. Step 3: Cross multiply
    11,648.36x = 16,069.38 × 7,460.84
  4. Step 4: Simplify right side
    11,648.36x = 119,891,073.08
  5. Step 5: Solve for x
    x = 119,891,073.08/11,648.36
  6. Step 6: Final answer
    x = 10,292.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.