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Finding the Fourth Proportional to 27,509.57, 41,264.35 and 7,788.23

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Solution

The fourth proportional to 27,509.57, 41,264.35 and 7,788.23 is: 11,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.57 : 41,264.35 = 7,788.23 : x
  2. Step 2: Convert to fraction form
    27,509.57/41,264.35 = 7,788.23/x
  3. Step 3: Cross multiply
    27,509.57x = 41,264.35 × 7,788.23
  4. Step 4: Simplify right side
    27,509.57x = 321,376,022.81
  5. Step 5: Solve for x
    x = 321,376,022.81/27,509.57
  6. Step 6: Final answer
    x = 11,682.34

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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.