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Finding the Fourth Proportional to 27,495.80, 41,246.44 and 7,774.52

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Solution

The fourth proportional to 27,495.80, 41,246.44 and 7,774.52 is: 11,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,495.80 : 41,246.44 = 7,774.52 : x
  2. Step 2: Convert to fraction form
    27,495.80/41,246.44 = 7,774.52/x
  3. Step 3: Cross multiply
    27,495.80x = 41,246.44 × 7,774.52
  4. Step 4: Simplify right side
    27,495.80x = 320,671,272.71
  5. Step 5: Solve for x
    x = 320,671,272.71/27,495.80
  6. Step 6: Final answer
    x = 11,662.55

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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.