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Finding the Fourth Proportional to 11,404.19, 15,736.38 and 6,368.69

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Solution

The fourth proportional to 11,404.19, 15,736.38 and 6,368.69 is: 8,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.19 : 15,736.38 = 6,368.69 : x
  2. Step 2: Convert to fraction form
    11,404.19/15,736.38 = 6,368.69/x
  3. Step 3: Cross multiply
    11,404.19x = 15,736.38 × 6,368.69
  4. Step 4: Simplify right side
    11,404.19x = 100,220,125.94
  5. Step 5: Solve for x
    x = 100,220,125.94/11,404.19
  6. Step 6: Final answer
    x = 8,788.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.