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Finding the Fourth Proportional to 11,362.25, 17,045.71 and 4,788.45

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Solution

The fourth proportional to 11,362.25, 17,045.71 and 4,788.45 is: 7,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.25 : 17,045.71 = 4,788.45 : x
  2. Step 2: Convert to fraction form
    11,362.25/17,045.71 = 4,788.45/x
  3. Step 3: Cross multiply
    11,362.25x = 17,045.71 × 4,788.45
  4. Step 4: Simplify right side
    11,362.25x = 81,622,518.08
  5. Step 5: Solve for x
    x = 81,622,518.08/11,362.25
  6. Step 6: Final answer
    x = 7,183.66

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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.