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Finding the Fourth Proportional to 10,857.75, 14,980.62 and 6,379.86

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Solution

The fourth proportional to 10,857.75, 14,980.62 and 6,379.86 is: 8,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.75 : 14,980.62 = 6,379.86 : x
  2. Step 2: Convert to fraction form
    10,857.75/14,980.62 = 6,379.86/x
  3. Step 3: Cross multiply
    10,857.75x = 14,980.62 × 6,379.86
  4. Step 4: Simplify right side
    10,857.75x = 95,574,338.42
  5. Step 5: Solve for x
    x = 95,574,338.42/10,857.75
  6. Step 6: Final answer
    x = 8,802.41

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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.