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Finding the Fourth Proportional to 7,649.42, 10,556.37 and 4,246.31

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Solution

The fourth proportional to 7,649.42, 10,556.37 and 4,246.31 is: 5,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.42 : 10,556.37 = 4,246.31 : x
  2. Step 2: Convert to fraction form
    7,649.42/10,556.37 = 4,246.31/x
  3. Step 3: Cross multiply
    7,649.42x = 10,556.37 × 4,246.31
  4. Step 4: Simplify right side
    7,649.42x = 44,825,566.71
  5. Step 5: Solve for x
    x = 44,825,566.71/7,649.42
  6. Step 6: Final answer
    x = 5,860.00

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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.