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Finding the Fourth Proportional to 11,916.35, 17,862.91 and 5,674.69

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Solution

The fourth proportional to 11,916.35, 17,862.91 and 5,674.69 is: 8,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.35 : 17,862.91 = 5,674.69 : x
  2. Step 2: Convert to fraction form
    11,916.35/17,862.91 = 5,674.69/x
  3. Step 3: Cross multiply
    11,916.35x = 17,862.91 × 5,674.69
  4. Step 4: Simplify right side
    11,916.35x = 101,366,476.75
  5. Step 5: Solve for x
    x = 101,366,476.75/11,916.35
  6. Step 6: Final answer
    x = 8,506.50

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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.