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Finding the Fourth Proportional to 8,764.68, 13,089.24 and 7,797

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Solution

The fourth proportional to 8,764.68, 13,089.24 and 7,797 is: 11,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.68 : 13,089.24 = 7,797 : x
  2. Step 2: Convert to fraction form
    8,764.68/13,089.24 = 7,797/x
  3. Step 3: Cross multiply
    8,764.68x = 13,089.24 × 7,797
  4. Step 4: Simplify right side
    8,764.68x = 102,056,804.28
  5. Step 5: Solve for x
    x = 102,056,804.28/8,764.68
  6. Step 6: Final answer
    x = 11,644.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.