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Finding the Fourth Proportional to 7,649.34, 10,556.19 and 4,292.88

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Solution

The fourth proportional to 7,649.34, 10,556.19 and 4,292.88 is: 5,924.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.34 : 10,556.19 = 4,292.88 : x
  2. Step 2: Convert to fraction form
    7,649.34/10,556.19 = 4,292.88/x
  3. Step 3: Cross multiply
    7,649.34x = 10,556.19 × 4,292.88
  4. Step 4: Simplify right side
    7,649.34x = 45,316,456.93
  5. Step 5: Solve for x
    x = 45,316,456.93/7,649.34
  6. Step 6: Final answer
    x = 5,924.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.