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Finding the Fourth Proportional to 8,443.81, 11,652.43 and 4,717.81

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Solution

The fourth proportional to 8,443.81, 11,652.43 and 4,717.81 is: 6,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.81 : 11,652.43 = 4,717.81 : x
  2. Step 2: Convert to fraction form
    8,443.81/11,652.43 = 4,717.81/x
  3. Step 3: Cross multiply
    8,443.81x = 11,652.43 × 4,717.81
  4. Step 4: Simplify right side
    8,443.81x = 54,973,950.78
  5. Step 5: Solve for x
    x = 54,973,950.78/8,443.81
  6. Step 6: Final answer
    x = 6,510.56

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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.