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Finding the Fourth Proportional to 7,649.98, 10,556.61 and 4,506.34

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Solution

The fourth proportional to 7,649.98, 10,556.61 and 4,506.34 is: 6,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.98 : 10,556.61 = 4,506.34 : x
  2. Step 2: Convert to fraction form
    7,649.98/10,556.61 = 4,506.34/x
  3. Step 3: Cross multiply
    7,649.98x = 10,556.61 × 4,506.34
  4. Step 4: Simplify right side
    7,649.98x = 47,571,673.91
  5. Step 5: Solve for x
    x = 47,571,673.91/7,649.98
  6. Step 6: Final answer
    x = 6,218.54

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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.