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Finding the Fourth Proportional to 27,656.32, 41,484.63 and 6,879.82

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Solution

The fourth proportional to 27,656.32, 41,484.63 and 6,879.82 is: 10,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,656.32 : 41,484.63 = 6,879.82 : x
  2. Step 2: Convert to fraction form
    27,656.32/41,484.63 = 6,879.82/x
  3. Step 3: Cross multiply
    27,656.32x = 41,484.63 × 6,879.82
  4. Step 4: Simplify right side
    27,656.32x = 285,406,787.17
  5. Step 5: Solve for x
    x = 285,406,787.17/27,656.32
  6. Step 6: Final answer
    x = 10,319.77

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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.