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Finding the Fourth Proportional to 7,710.28, 11,553.31 and 5,959.57

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Solution

The fourth proportional to 7,710.28, 11,553.31 and 5,959.57 is: 8,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.28 : 11,553.31 = 5,959.57 : x
  2. Step 2: Convert to fraction form
    7,710.28/11,553.31 = 5,959.57/x
  3. Step 3: Cross multiply
    7,710.28x = 11,553.31 × 5,959.57
  4. Step 4: Simplify right side
    7,710.28x = 68,852,729.88
  5. Step 5: Solve for x
    x = 68,852,729.88/7,710.28
  6. Step 6: Final answer
    x = 8,929.99

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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.