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Finding the Fourth Proportional to 8,771.84, 13,157.86 and 5,071.83

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Solution

The fourth proportional to 8,771.84, 13,157.86 and 5,071.83 is: 7,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.84 : 13,157.86 = 5,071.83 : x
  2. Step 2: Convert to fraction form
    8,771.84/13,157.86 = 5,071.83/x
  3. Step 3: Cross multiply
    8,771.84x = 13,157.86 × 5,071.83
  4. Step 4: Simplify right side
    8,771.84x = 66,734,429.08
  5. Step 5: Solve for x
    x = 66,734,429.08/8,771.84
  6. Step 6: Final answer
    x = 7,607.80

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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.