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Finding the Fourth Proportional to 11,420.82, 15,756.06 and 6,943.86

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Solution

The fourth proportional to 11,420.82, 15,756.06 and 6,943.86 is: 9,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.82 : 15,756.06 = 6,943.86 : x
  2. Step 2: Convert to fraction form
    11,420.82/15,756.06 = 6,943.86/x
  3. Step 3: Cross multiply
    11,420.82x = 15,756.06 × 6,943.86
  4. Step 4: Simplify right side
    11,420.82x = 109,407,874.79
  5. Step 5: Solve for x
    x = 109,407,874.79/11,420.82
  6. Step 6: Final answer
    x = 9,579.69

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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.