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Finding the Fourth Proportional to 8,004.52, 11,991.78 and 4,707.76

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Solution

The fourth proportional to 8,004.52, 11,991.78 and 4,707.76 is: 7,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.52 : 11,991.78 = 4,707.76 : x
  2. Step 2: Convert to fraction form
    8,004.52/11,991.78 = 4,707.76/x
  3. Step 3: Cross multiply
    8,004.52x = 11,991.78 × 4,707.76
  4. Step 4: Simplify right side
    8,004.52x = 56,454,422.21
  5. Step 5: Solve for x
    x = 56,454,422.21/8,004.52
  6. Step 6: Final answer
    x = 7,052.82

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