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Finding the Fourth Proportional to 10,820.96, 14,943.03 and 7,963.28

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Solution

The fourth proportional to 10,820.96, 14,943.03 and 7,963.28 is: 10,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.96 : 14,943.03 = 7,963.28 : x
  2. Step 2: Convert to fraction form
    10,820.96/14,943.03 = 7,963.28/x
  3. Step 3: Cross multiply
    10,820.96x = 14,943.03 × 7,963.28
  4. Step 4: Simplify right side
    10,820.96x = 118,995,528.19
  5. Step 5: Solve for x
    x = 118,995,528.19/10,820.96
  6. Step 6: Final answer
    x = 10,996.76

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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.