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Finding the Fourth Proportional to 11,588.50, 15,986.24 and 7,332.38

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Solution

The fourth proportional to 11,588.50, 15,986.24 and 7,332.38 is: 10,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.50 : 15,986.24 = 7,332.38 : x
  2. Step 2: Convert to fraction form
    11,588.50/15,986.24 = 7,332.38/x
  3. Step 3: Cross multiply
    11,588.50x = 15,986.24 × 7,332.38
  4. Step 4: Simplify right side
    11,588.50x = 117,217,186.45
  5. Step 5: Solve for x
    x = 117,217,186.45/11,588.50
  6. Step 6: Final answer
    x = 10,114.96

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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.