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Finding the Fourth Proportional to 11,762.81, 17,652.48 and 5,523.03

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Solution

The fourth proportional to 11,762.81, 17,652.48 and 5,523.03 is: 8,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.81 : 17,652.48 = 5,523.03 : x
  2. Step 2: Convert to fraction form
    11,762.81/17,652.48 = 5,523.03/x
  3. Step 3: Cross multiply
    11,762.81x = 17,652.48 × 5,523.03
  4. Step 4: Simplify right side
    11,762.81x = 97,495,176.61
  5. Step 5: Solve for x
    x = 97,495,176.61/11,762.81
  6. Step 6: Final answer
    x = 8,288.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.