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Finding the Fourth Proportional to 8,542.80, 11,788.35 and 4,765.68

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Solution

The fourth proportional to 8,542.80, 11,788.35 and 4,765.68 is: 6,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.80 : 11,788.35 = 4,765.68 : x
  2. Step 2: Convert to fraction form
    8,542.80/11,788.35 = 4,765.68/x
  3. Step 3: Cross multiply
    8,542.80x = 11,788.35 × 4,765.68
  4. Step 4: Simplify right side
    8,542.80x = 56,179,503.83
  5. Step 5: Solve for x
    x = 56,179,503.83/8,542.80
  6. Step 6: Final answer
    x = 6,576.24

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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.