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Finding the Fourth Proportional to 11,670.99, 17,509.95 and 5,434.68

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Solution

The fourth proportional to 11,670.99, 17,509.95 and 5,434.68 is: 8,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.99 : 17,509.95 = 5,434.68 : x
  2. Step 2: Convert to fraction form
    11,670.99/17,509.95 = 5,434.68/x
  3. Step 3: Cross multiply
    11,670.99x = 17,509.95 × 5,434.68
  4. Step 4: Simplify right side
    11,670.99x = 95,160,975.07
  5. Step 5: Solve for x
    x = 95,160,975.07/11,670.99
  6. Step 6: Final answer
    x = 8,153.63

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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.