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Finding the Fourth Proportional to 10,242.81, 14,135.22 and 5,996.52

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Solution

The fourth proportional to 10,242.81, 14,135.22 and 5,996.52 is: 8,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.81 : 14,135.22 = 5,996.52 : x
  2. Step 2: Convert to fraction form
    10,242.81/14,135.22 = 5,996.52/x
  3. Step 3: Cross multiply
    10,242.81x = 14,135.22 × 5,996.52
  4. Step 4: Simplify right side
    10,242.81x = 84,762,129.43
  5. Step 5: Solve for x
    x = 84,762,129.43/10,242.81
  6. Step 6: Final answer
    x = 8,275.28

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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.