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Finding the Fourth Proportional to 11,488.94, 17,237.51 and 5,649.65

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Solution

The fourth proportional to 11,488.94, 17,237.51 and 5,649.65 is: 8,476.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.94 : 17,237.51 = 5,649.65 : x
  2. Step 2: Convert to fraction form
    11,488.94/17,237.51 = 5,649.65/x
  3. Step 3: Cross multiply
    11,488.94x = 17,237.51 × 5,649.65
  4. Step 4: Simplify right side
    11,488.94x = 97,385,898.37
  5. Step 5: Solve for x
    x = 97,385,898.37/11,488.94
  6. Step 6: Final answer
    x = 8,476.49

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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.