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Finding the Fourth Proportional to 7,617.57, 11,422.25 and 4,109.46

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Solution

The fourth proportional to 7,617.57, 11,422.25 and 4,109.46 is: 6,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.57 : 11,422.25 = 4,109.46 : x
  2. Step 2: Convert to fraction form
    7,617.57/11,422.25 = 4,109.46/x
  3. Step 3: Cross multiply
    7,617.57x = 11,422.25 × 4,109.46
  4. Step 4: Simplify right side
    7,617.57x = 46,939,289.76
  5. Step 5: Solve for x
    x = 46,939,289.76/7,617.57
  6. Step 6: Final answer
    x = 6,161.98

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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.