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Finding the Fourth Proportional to 27,488.82, 41,228.49 and 7,762.77

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Solution

The fourth proportional to 27,488.82, 41,228.49 and 7,762.77 is: 11,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488.82 : 41,228.49 = 7,762.77 : x
  2. Step 2: Convert to fraction form
    27,488.82/41,228.49 = 7,762.77/x
  3. Step 3: Cross multiply
    27,488.82x = 41,228.49 × 7,762.77
  4. Step 4: Simplify right side
    27,488.82x = 320,047,285.32
  5. Step 5: Solve for x
    x = 320,047,285.32/27,488.82
  6. Step 6: Final answer
    x = 11,642.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.