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Finding the Fourth Proportional to 11,284.90, 15,573.17 and 6,180.39

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Solution

The fourth proportional to 11,284.90, 15,573.17 and 6,180.39 is: 8,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.90 : 15,573.17 = 6,180.39 : x
  2. Step 2: Convert to fraction form
    11,284.90/15,573.17 = 6,180.39/x
  3. Step 3: Cross multiply
    11,284.90x = 15,573.17 × 6,180.39
  4. Step 4: Simplify right side
    11,284.90x = 96,248,264.14
  5. Step 5: Solve for x
    x = 96,248,264.14/11,284.90
  6. Step 6: Final answer
    x = 8,528.94

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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.