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Finding the Fourth Proportional to 10,459.25, 14,433.78 and 5,983.03

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Solution

The fourth proportional to 10,459.25, 14,433.78 and 5,983.03 is: 8,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.25 : 14,433.78 = 5,983.03 : x
  2. Step 2: Convert to fraction form
    10,459.25/14,433.78 = 5,983.03/x
  3. Step 3: Cross multiply
    10,459.25x = 14,433.78 × 5,983.03
  4. Step 4: Simplify right side
    10,459.25x = 86,357,738.75
  5. Step 5: Solve for x
    x = 86,357,738.75/10,459.25
  6. Step 6: Final answer
    x = 8,256.59

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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.