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Finding the Fourth Proportional to 10,462.44, 14,434.61 and 5,982.99

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Solution

The fourth proportional to 10,462.44, 14,434.61 and 5,982.99 is: 8,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.44 : 14,434.61 = 5,982.99 : x
  2. Step 2: Convert to fraction form
    10,462.44/14,434.61 = 5,982.99/x
  3. Step 3: Cross multiply
    10,462.44x = 14,434.61 × 5,982.99
  4. Step 4: Simplify right side
    10,462.44x = 86,362,083.84
  5. Step 5: Solve for x
    x = 86,362,083.84/10,462.44
  6. Step 6: Final answer
    x = 8,254.49

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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.