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Finding the Fourth Proportional to 10,291.24, 14,201.06 and 5,815.38

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Solution

The fourth proportional to 10,291.24, 14,201.06 and 5,815.38 is: 8,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.24 : 14,201.06 = 5,815.38 : x
  2. Step 2: Convert to fraction form
    10,291.24/14,201.06 = 5,815.38/x
  3. Step 3: Cross multiply
    10,291.24x = 14,201.06 × 5,815.38
  4. Step 4: Simplify right side
    10,291.24x = 82,584,560.30
  5. Step 5: Solve for x
    x = 82,584,560.30/10,291.24
  6. Step 6: Final answer
    x = 8,024.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.