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Finding the Fourth Proportional to 11,586.50, 15,983.48 and 7,330.38

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Solution

The fourth proportional to 11,586.50, 15,983.48 and 7,330.38 is: 10,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.50 : 15,983.48 = 7,330.38 : x
  2. Step 2: Convert to fraction form
    11,586.50/15,983.48 = 7,330.38/x
  3. Step 3: Cross multiply
    11,586.50x = 15,983.48 × 7,330.38
  4. Step 4: Simplify right side
    11,586.50x = 117,164,945.47
  5. Step 5: Solve for x
    x = 117,164,945.47/11,586.50
  6. Step 6: Final answer
    x = 10,112.20

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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.