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Finding the Fourth Proportional to 8,562.09, 11,817.24 and 4,977.54

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Solution

The fourth proportional to 8,562.09, 11,817.24 and 4,977.54 is: 6,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.09 : 11,817.24 = 4,977.54 : x
  2. Step 2: Convert to fraction form
    8,562.09/11,817.24 = 4,977.54/x
  3. Step 3: Cross multiply
    8,562.09x = 11,817.24 × 4,977.54
  4. Step 4: Simplify right side
    8,562.09x = 58,820,784.79
  5. Step 5: Solve for x
    x = 58,820,784.79/8,562.09
  6. Step 6: Final answer
    x = 6,869.91

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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.