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Finding the Fourth Proportional to 11,444.54, 15,792.71 and 6,339.71

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Solution

The fourth proportional to 11,444.54, 15,792.71 and 6,339.71 is: 8,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.54 : 15,792.71 = 6,339.71 : x
  2. Step 2: Convert to fraction form
    11,444.54/15,792.71 = 6,339.71/x
  3. Step 3: Cross multiply
    11,444.54x = 15,792.71 × 6,339.71
  4. Step 4: Simplify right side
    11,444.54x = 100,121,209.30
  5. Step 5: Solve for x
    x = 100,121,209.30/11,444.54
  6. Step 6: Final answer
    x = 8,748.39

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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.