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Finding the Fourth Proportional to 27,509.62, 41,264.43 and 7,788.35

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Solution

The fourth proportional to 27,509.62, 41,264.43 and 7,788.35 is: 11,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.62 : 41,264.43 = 7,788.35 : x
  2. Step 2: Convert to fraction form
    27,509.62/41,264.43 = 7,788.35/x
  3. Step 3: Cross multiply
    27,509.62x = 41,264.43 × 7,788.35
  4. Step 4: Simplify right side
    27,509.62x = 321,381,617.07
  5. Step 5: Solve for x
    x = 321,381,617.07/27,509.62
  6. Step 6: Final answer
    x = 11,682.52

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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.