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Finding the Fourth Proportional to 27,774.12, 41,660.82 and 6,714

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Solution

The fourth proportional to 27,774.12, 41,660.82 and 6,714 is: 10,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.12 : 41,660.82 = 6,714 : x
  2. Step 2: Convert to fraction form
    27,774.12/41,660.82 = 6,714/x
  3. Step 3: Cross multiply
    27,774.12x = 41,660.82 × 6,714
  4. Step 4: Simplify right side
    27,774.12x = 279,710,745.48
  5. Step 5: Solve for x
    x = 279,710,745.48/27,774.12
  6. Step 6: Final answer
    x = 10,070.91

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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.