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Finding the Fourth Proportional to 10,459.45, 14,433.63 and 5,983.61

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Solution

The fourth proportional to 10,459.45, 14,433.63 and 5,983.61 is: 8,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.45 : 14,433.63 = 5,983.61 : x
  2. Step 2: Convert to fraction form
    10,459.45/14,433.63 = 5,983.61/x
  3. Step 3: Cross multiply
    10,459.45x = 14,433.63 × 5,983.61
  4. Step 4: Simplify right side
    10,459.45x = 86,365,233.04
  5. Step 5: Solve for x
    x = 86,365,233.04/10,459.45
  6. Step 6: Final answer
    x = 8,257.15

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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.