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Finding the Fourth Proportional to 10,286.74, 14,201.04 and 7,137.46

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Solution

The fourth proportional to 10,286.74, 14,201.04 and 7,137.46 is: 9,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.74 : 14,201.04 = 7,137.46 : x
  2. Step 2: Convert to fraction form
    10,286.74/14,201.04 = 7,137.46/x
  3. Step 3: Cross multiply
    10,286.74x = 14,201.04 × 7,137.46
  4. Step 4: Simplify right side
    10,286.74x = 101,359,354.96
  5. Step 5: Solve for x
    x = 101,359,354.96/10,286.74
  6. Step 6: Final answer
    x = 9,853.40

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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.