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Finding the Fourth Proportional to 8,047.36, 11,156.80 and 7,762.24

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Solution

The fourth proportional to 8,047.36, 11,156.80 and 7,762.24 is: 10,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.36 : 11,156.80 = 7,762.24 : x
  2. Step 2: Convert to fraction form
    8,047.36/11,156.80 = 7,762.24/x
  3. Step 3: Cross multiply
    8,047.36x = 11,156.80 × 7,762.24
  4. Step 4: Simplify right side
    8,047.36x = 86,601,759.23
  5. Step 5: Solve for x
    x = 86,601,759.23/8,047.36
  6. Step 6: Final answer
    x = 10,761.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.