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Finding the Fourth Proportional to 7,352.42, 11,029.85 and 3,407.63

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Solution

The fourth proportional to 7,352.42, 11,029.85 and 3,407.63 is: 5,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.42 : 11,029.85 = 3,407.63 : x
  2. Step 2: Convert to fraction form
    7,352.42/11,029.85 = 3,407.63/x
  3. Step 3: Cross multiply
    7,352.42x = 11,029.85 × 3,407.63
  4. Step 4: Simplify right side
    7,352.42x = 37,585,575.57
  5. Step 5: Solve for x
    x = 37,585,575.57/7,352.42
  6. Step 6: Final answer
    x = 5,112.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.