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Finding the Fourth Proportional to 11,588.37, 15,986.06 and 7,332.26

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Solution

The fourth proportional to 11,588.37, 15,986.06 and 7,332.26 is: 10,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.37 : 15,986.06 = 7,332.26 : x
  2. Step 2: Convert to fraction form
    11,588.37/15,986.06 = 7,332.26/x
  3. Step 3: Cross multiply
    11,588.37x = 15,986.06 × 7,332.26
  4. Step 4: Simplify right side
    11,588.37x = 117,213,859.20
  5. Step 5: Solve for x
    x = 117,213,859.20/11,588.37
  6. Step 6: Final answer
    x = 10,114.79

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