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Finding the Fourth Proportional to 7,649.61, 10,556.42 and 4,292.42

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Solution

The fourth proportional to 7,649.61, 10,556.42 and 4,292.42 is: 5,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.61 : 10,556.42 = 4,292.42 : x
  2. Step 2: Convert to fraction form
    7,649.61/10,556.42 = 4,292.42/x
  3. Step 3: Cross multiply
    7,649.61x = 10,556.42 × 4,292.42
  4. Step 4: Simplify right side
    7,649.61x = 45,312,588.34
  5. Step 5: Solve for x
    x = 45,312,588.34/7,649.61
  6. Step 6: Final answer
    x = 5,923.52

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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.