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Finding the Fourth Proportional to 7,591.19, 11,371.05 and 4,461.75

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Solution

The fourth proportional to 7,591.19, 11,371.05 and 4,461.75 is: 6,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.19 : 11,371.05 = 4,461.75 : x
  2. Step 2: Convert to fraction form
    7,591.19/11,371.05 = 4,461.75/x
  3. Step 3: Cross multiply
    7,591.19x = 11,371.05 × 4,461.75
  4. Step 4: Simplify right side
    7,591.19x = 50,734,782.34
  5. Step 5: Solve for x
    x = 50,734,782.34/7,591.19
  6. Step 6: Final answer
    x = 6,683.38

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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.