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Finding the Fourth Proportional to 10,259.60, 15,380.14 and 3,684.24

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Solution

The fourth proportional to 10,259.60, 15,380.14 and 3,684.24 is: 5,523.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.60 : 15,380.14 = 3,684.24 : x
  2. Step 2: Convert to fraction form
    10,259.60/15,380.14 = 3,684.24/x
  3. Step 3: Cross multiply
    10,259.60x = 15,380.14 × 3,684.24
  4. Step 4: Simplify right side
    10,259.60x = 56,664,126.99
  5. Step 5: Solve for x
    x = 56,664,126.99/10,259.60
  6. Step 6: Final answer
    x = 5,523.03

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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.