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Finding the Fourth Proportional to 7,835.49, 11,753.13 and 3,156.69

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Solution

The fourth proportional to 7,835.49, 11,753.13 and 3,156.69 is: 4,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.49 : 11,753.13 = 3,156.69 : x
  2. Step 2: Convert to fraction form
    7,835.49/11,753.13 = 3,156.69/x
  3. Step 3: Cross multiply
    7,835.49x = 11,753.13 × 3,156.69
  4. Step 4: Simplify right side
    7,835.49x = 37,100,987.94
  5. Step 5: Solve for x
    x = 37,100,987.94/7,835.49
  6. Step 6: Final answer
    x = 4,734.99

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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.