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Finding the Fourth Proportional to 8,771.31, 13,159.80 and 5,260.77

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Solution

The fourth proportional to 8,771.31, 13,159.80 and 5,260.77 is: 7,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.31 : 13,159.80 = 5,260.77 : x
  2. Step 2: Convert to fraction form
    8,771.31/13,159.80 = 5,260.77/x
  3. Step 3: Cross multiply
    8,771.31x = 13,159.80 × 5,260.77
  4. Step 4: Simplify right side
    8,771.31x = 69,230,681.05
  5. Step 5: Solve for x
    x = 69,230,681.05/8,771.31
  6. Step 6: Final answer
    x = 7,892.86

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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.