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Finding the Fourth Proportional to 10,027.94, 13,812.88 and 8,432.80

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Solution

The fourth proportional to 10,027.94, 13,812.88 and 8,432.80 is: 11,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.94 : 13,812.88 = 8,432.80 : x
  2. Step 2: Convert to fraction form
    10,027.94/13,812.88 = 8,432.80/x
  3. Step 3: Cross multiply
    10,027.94x = 13,812.88 × 8,432.80
  4. Step 4: Simplify right side
    10,027.94x = 116,481,254.46
  5. Step 5: Solve for x
    x = 116,481,254.46/10,027.94
  6. Step 6: Final answer
    x = 11,615.67

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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.