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Finding the Fourth Proportional to 8,771.26, 13,157 and 2,927.87

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Solution

The fourth proportional to 8,771.26, 13,157 and 2,927.87 is: 4,391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.26 : 13,157 = 2,927.87 : x
  2. Step 2: Convert to fraction form
    8,771.26/13,157 = 2,927.87/x
  3. Step 3: Cross multiply
    8,771.26x = 13,157 × 2,927.87
  4. Step 4: Simplify right side
    8,771.26x = 38,521,985.59
  5. Step 5: Solve for x
    x = 38,521,985.59/8,771.26
  6. Step 6: Final answer
    x = 4,391.84

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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.