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Finding the Fourth Proportional to 11,806.15, 17,703.57 and 6,877.19

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Solution

The fourth proportional to 11,806.15, 17,703.57 and 6,877.19 is: 10,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.15 : 17,703.57 = 6,877.19 : x
  2. Step 2: Convert to fraction form
    11,806.15/17,703.57 = 6,877.19/x
  3. Step 3: Cross multiply
    11,806.15x = 17,703.57 × 6,877.19
  4. Step 4: Simplify right side
    11,806.15x = 121,750,814.57
  5. Step 5: Solve for x
    x = 121,750,814.57/11,806.15
  6. Step 6: Final answer
    x = 10,312.50

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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.