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Finding the Fourth Proportional to 10,274.78, 14,179.26 and 5,798.72

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Solution

The fourth proportional to 10,274.78, 14,179.26 and 5,798.72 is: 8,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.78 : 14,179.26 = 5,798.72 : x
  2. Step 2: Convert to fraction form
    10,274.78/14,179.26 = 5,798.72/x
  3. Step 3: Cross multiply
    10,274.78x = 14,179.26 × 5,798.72
  4. Step 4: Simplify right side
    10,274.78x = 82,221,558.55
  5. Step 5: Solve for x
    x = 82,221,558.55/10,274.78
  6. Step 6: Final answer
    x = 8,002.27

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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.