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Finding the Fourth Proportional to 7,673.52, 11,514.36 and 5,824.02

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Solution

The fourth proportional to 7,673.52, 11,514.36 and 5,824.02 is: 8,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.52 : 11,514.36 = 5,824.02 : x
  2. Step 2: Convert to fraction form
    7,673.52/11,514.36 = 5,824.02/x
  3. Step 3: Cross multiply
    7,673.52x = 11,514.36 × 5,824.02
  4. Step 4: Simplify right side
    7,673.52x = 67,059,862.93
  5. Step 5: Solve for x
    x = 67,059,862.93/7,673.52
  6. Step 6: Final answer
    x = 8,739.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.