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Finding the Fourth Proportional to 27,577.66, 41,366.40 and 7,856.32

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Solution

The fourth proportional to 27,577.66, 41,366.40 and 7,856.32 is: 11,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.66 : 41,366.40 = 7,856.32 : x
  2. Step 2: Convert to fraction form
    27,577.66/41,366.40 = 7,856.32/x
  3. Step 3: Cross multiply
    27,577.66x = 41,366.40 × 7,856.32
  4. Step 4: Simplify right side
    27,577.66x = 324,987,675.65
  5. Step 5: Solve for x
    x = 324,987,675.65/27,577.66
  6. Step 6: Final answer
    x = 11,784.45

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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.