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Finding the Fourth Proportional to 11,414.96, 15,751.48 and 6,379.40

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Solution

The fourth proportional to 11,414.96, 15,751.48 and 6,379.40 is: 8,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.96 : 15,751.48 = 6,379.40 : x
  2. Step 2: Convert to fraction form
    11,414.96/15,751.48 = 6,379.40/x
  3. Step 3: Cross multiply
    11,414.96x = 15,751.48 × 6,379.40
  4. Step 4: Simplify right side
    11,414.96x = 100,484,991.51
  5. Step 5: Solve for x
    x = 100,484,991.51/11,414.96
  6. Step 6: Final answer
    x = 8,802.92

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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.