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Finding the Fourth Proportional to 10,263.64, 14,163.42 and 5,788.33

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Solution

The fourth proportional to 10,263.64, 14,163.42 and 5,788.33 is: 7,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.64 : 14,163.42 = 5,788.33 : x
  2. Step 2: Convert to fraction form
    10,263.64/14,163.42 = 5,788.33/x
  3. Step 3: Cross multiply
    10,263.64x = 14,163.42 × 5,788.33
  4. Step 4: Simplify right side
    10,263.64x = 81,982,548.89
  5. Step 5: Solve for x
    x = 81,982,548.89/10,263.64
  6. Step 6: Final answer
    x = 7,987.67

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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.