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Finding the Fourth Proportional to 8,056.98, 11,113 and 7,786.04

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Solution

The fourth proportional to 8,056.98, 11,113 and 7,786.04 is: 10,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.98 : 11,113 = 7,786.04 : x
  2. Step 2: Convert to fraction form
    8,056.98/11,113 = 7,786.04/x
  3. Step 3: Cross multiply
    8,056.98x = 11,113 × 7,786.04
  4. Step 4: Simplify right side
    8,056.98x = 86,526,262.52
  5. Step 5: Solve for x
    x = 86,526,262.52/8,056.98
  6. Step 6: Final answer
    x = 10,739.29

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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.