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Finding the Fourth Proportional to 10,812.56, 14,921.34 and 5,844.56

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Solution

The fourth proportional to 10,812.56, 14,921.34 and 5,844.56 is: 8,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.56 : 14,921.34 = 5,844.56 : x
  2. Step 2: Convert to fraction form
    10,812.56/14,921.34 = 5,844.56/x
  3. Step 3: Cross multiply
    10,812.56x = 14,921.34 × 5,844.56
  4. Step 4: Simplify right side
    10,812.56x = 87,208,666.91
  5. Step 5: Solve for x
    x = 87,208,666.91/10,812.56
  6. Step 6: Final answer
    x = 8,065.50

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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.