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Finding the Fourth Proportional to 8,523.68, 11,762.36 and 4,747

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Solution

The fourth proportional to 8,523.68, 11,762.36 and 4,747 is: 6,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.68 : 11,762.36 = 4,747 : x
  2. Step 2: Convert to fraction form
    8,523.68/11,762.36 = 4,747/x
  3. Step 3: Cross multiply
    8,523.68x = 11,762.36 × 4,747
  4. Step 4: Simplify right side
    8,523.68x = 55,835,922.92
  5. Step 5: Solve for x
    x = 55,835,922.92/8,523.68
  6. Step 6: Final answer
    x = 6,550.68

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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.