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Finding the Fourth Proportional to 10,291.40, 14,201.31 and 5,815.54

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Solution

The fourth proportional to 10,291.40, 14,201.31 and 5,815.54 is: 8,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.40 : 14,201.31 = 5,815.54 : x
  2. Step 2: Convert to fraction form
    10,291.40/14,201.31 = 5,815.54/x
  3. Step 3: Cross multiply
    10,291.40x = 14,201.31 × 5,815.54
  4. Step 4: Simplify right side
    10,291.40x = 82,588,286.36
  5. Step 5: Solve for x
    x = 82,588,286.36/10,291.40
  6. Step 6: Final answer
    x = 8,024.98

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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.