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Finding the Fourth Proportional to 11,103.68, 15,323.49 and 6,068.24

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Solution

The fourth proportional to 11,103.68, 15,323.49 and 6,068.24 is: 8,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.68 : 15,323.49 = 6,068.24 : x
  2. Step 2: Convert to fraction form
    11,103.68/15,323.49 = 6,068.24/x
  3. Step 3: Cross multiply
    11,103.68x = 15,323.49 × 6,068.24
  4. Step 4: Simplify right side
    11,103.68x = 92,986,508.00
  5. Step 5: Solve for x
    x = 92,986,508.00/11,103.68
  6. Step 6: Final answer
    x = 8,374.39

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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.