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Finding the Fourth Proportional to 8,575.06, 11,834.86 and 5,431.54

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Solution

The fourth proportional to 8,575.06, 11,834.86 and 5,431.54 is: 7,496.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.06 : 11,834.86 = 5,431.54 : x
  2. Step 2: Convert to fraction form
    8,575.06/11,834.86 = 5,431.54/x
  3. Step 3: Cross multiply
    8,575.06x = 11,834.86 × 5,431.54
  4. Step 4: Simplify right side
    8,575.06x = 64,281,515.48
  5. Step 5: Solve for x
    x = 64,281,515.48/8,575.06
  6. Step 6: Final answer
    x = 7,496.33

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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.