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Finding the Fourth Proportional to 7,632.47, 10,514.82 and 7,173.20

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Solution

The fourth proportional to 7,632.47, 10,514.82 and 7,173.20 is: 9,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.47 : 10,514.82 = 7,173.20 : x
  2. Step 2: Convert to fraction form
    7,632.47/10,514.82 = 7,173.20/x
  3. Step 3: Cross multiply
    7,632.47x = 10,514.82 × 7,173.20
  4. Step 4: Simplify right side
    7,632.47x = 75,424,818.38
  5. Step 5: Solve for x
    x = 75,424,818.38/7,632.47
  6. Step 6: Final answer
    x = 9,882.10

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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.