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Finding the Fourth Proportional to 11,343.69, 15,653.39 and 6,307.92

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Solution

The fourth proportional to 11,343.69, 15,653.39 and 6,307.92 is: 8,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.69 : 15,653.39 = 6,307.92 : x
  2. Step 2: Convert to fraction form
    11,343.69/15,653.39 = 6,307.92/x
  3. Step 3: Cross multiply
    11,343.69x = 15,653.39 × 6,307.92
  4. Step 4: Simplify right side
    11,343.69x = 98,740,300.31
  5. Step 5: Solve for x
    x = 98,740,300.31/11,343.69
  6. Step 6: Final answer
    x = 8,704.43

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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.