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Finding the Fourth Proportional to 8,379.74, 11,566.12 and 4,845

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Solution

The fourth proportional to 8,379.74, 11,566.12 and 4,845 is: 6,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.74 : 11,566.12 = 4,845 : x
  2. Step 2: Convert to fraction form
    8,379.74/11,566.12 = 4,845/x
  3. Step 3: Cross multiply
    8,379.74x = 11,566.12 × 4,845
  4. Step 4: Simplify right side
    8,379.74x = 56,037,851.40
  5. Step 5: Solve for x
    x = 56,037,851.40/8,379.74
  6. Step 6: Final answer
    x = 6,687.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.