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Finding the Fourth Proportional to 10,461.22, 14,456.27 and 7,938.88

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Solution

The fourth proportional to 10,461.22, 14,456.27 and 7,938.88 is: 10,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.22 : 14,456.27 = 7,938.88 : x
  2. Step 2: Convert to fraction form
    10,461.22/14,456.27 = 7,938.88/x
  3. Step 3: Cross multiply
    10,461.22x = 14,456.27 × 7,938.88
  4. Step 4: Simplify right side
    10,461.22x = 114,766,576.48
  5. Step 5: Solve for x
    x = 114,766,576.48/10,461.22
  6. Step 6: Final answer
    x = 10,970.67

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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.