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Finding the Fourth Proportional to 7,899.44, 11,837.86 and 5,803

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Solution

The fourth proportional to 7,899.44, 11,837.86 and 5,803 is: 8,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.44 : 11,837.86 = 5,803 : x
  2. Step 2: Convert to fraction form
    7,899.44/11,837.86 = 5,803/x
  3. Step 3: Cross multiply
    7,899.44x = 11,837.86 × 5,803
  4. Step 4: Simplify right side
    7,899.44x = 68,695,101.58
  5. Step 5: Solve for x
    x = 68,695,101.58/7,899.44
  6. Step 6: Final answer
    x = 8,696.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.