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Finding the Fourth Proportional to 11,255.52, 15,531.28 and 6,779.20

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Solution

The fourth proportional to 11,255.52, 15,531.28 and 6,779.20 is: 9,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255.52 : 15,531.28 = 6,779.20 : x
  2. Step 2: Convert to fraction form
    11,255.52/15,531.28 = 6,779.20/x
  3. Step 3: Cross multiply
    11,255.52x = 15,531.28 × 6,779.20
  4. Step 4: Simplify right side
    11,255.52x = 105,289,653.38
  5. Step 5: Solve for x
    x = 105,289,653.38/11,255.52
  6. Step 6: Final answer
    x = 9,354.49

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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.