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Finding the Fourth Proportional to 8,535.34, 11,778.82 and 4,758.75

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Solution

The fourth proportional to 8,535.34, 11,778.82 and 4,758.75 is: 6,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.34 : 11,778.82 = 4,758.75 : x
  2. Step 2: Convert to fraction form
    8,535.34/11,778.82 = 4,758.75/x
  3. Step 3: Cross multiply
    8,535.34x = 11,778.82 × 4,758.75
  4. Step 4: Simplify right side
    8,535.34x = 56,052,459.68
  5. Step 5: Solve for x
    x = 56,052,459.68/8,535.34
  6. Step 6: Final answer
    x = 6,567.10

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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.