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Finding the Fourth Proportional to 11,762.04, 16,222.10 and 10,342.78

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Solution

The fourth proportional to 11,762.04, 16,222.10 and 10,342.78 is: 14,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.04 : 16,222.10 = 10,342.78 : x
  2. Step 2: Convert to fraction form
    11,762.04/16,222.10 = 10,342.78/x
  3. Step 3: Cross multiply
    11,762.04x = 16,222.10 × 10,342.78
  4. Step 4: Simplify right side
    11,762.04x = 167,781,611.44
  5. Step 5: Solve for x
    x = 167,781,611.44/11,762.04
  6. Step 6: Final answer
    x = 14,264.67

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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.