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Finding the Fourth Proportional to 11,666.99, 17,489.40 and 7,438.38

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Solution

The fourth proportional to 11,666.99, 17,489.40 and 7,438.38 is: 11,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.99 : 17,489.40 = 7,438.38 : x
  2. Step 2: Convert to fraction form
    11,666.99/17,489.40 = 7,438.38/x
  3. Step 3: Cross multiply
    11,666.99x = 17,489.40 × 7,438.38
  4. Step 4: Simplify right side
    11,666.99x = 130,092,803.17
  5. Step 5: Solve for x
    x = 130,092,803.17/11,666.99
  6. Step 6: Final answer
    x = 11,150.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.