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Finding the Fourth Proportional to 10,191.61, 15,289.72 and 3,617.80

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Solution

The fourth proportional to 10,191.61, 15,289.72 and 3,617.80 is: 5,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.61 : 15,289.72 = 3,617.80 : x
  2. Step 2: Convert to fraction form
    10,191.61/15,289.72 = 3,617.80/x
  3. Step 3: Cross multiply
    10,191.61x = 15,289.72 × 3,617.80
  4. Step 4: Simplify right side
    10,191.61x = 55,315,101.75
  5. Step 5: Solve for x
    x = 55,315,101.75/10,191.61
  6. Step 6: Final answer
    x = 5,427.51

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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.