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Finding the Fourth Proportional to 11,588.32, 15,983.38 and 7,607.98

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Solution

The fourth proportional to 11,588.32, 15,983.38 and 7,607.98 is: 10,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.32 : 15,983.38 = 7,607.98 : x
  2. Step 2: Convert to fraction form
    11,588.32/15,983.38 = 7,607.98/x
  3. Step 3: Cross multiply
    11,588.32x = 15,983.38 × 7,607.98
  4. Step 4: Simplify right side
    11,588.32x = 121,601,235.37
  5. Step 5: Solve for x
    x = 121,601,235.37/11,588.32
  6. Step 6: Final answer
    x = 10,493.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.