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Finding the Fourth Proportional to 8,895.37, 13,277.91 and 7,844.46

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Solution

The fourth proportional to 8,895.37, 13,277.91 and 7,844.46 is: 11,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,895.37 : 13,277.91 = 7,844.46 : x
  2. Step 2: Convert to fraction form
    8,895.37/13,277.91 = 7,844.46/x
  3. Step 3: Cross multiply
    8,895.37x = 13,277.91 × 7,844.46
  4. Step 4: Simplify right side
    8,895.37x = 104,157,967.49
  5. Step 5: Solve for x
    x = 104,157,967.49/8,895.37
  6. Step 6: Final answer
    x = 11,709.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.