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Finding the Fourth Proportional to 10,259.20, 15,388.16 and 3,685.20

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Solution

The fourth proportional to 10,259.20, 15,388.16 and 3,685.20 is: 5,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.20 : 15,388.16 = 3,685.20 : x
  2. Step 2: Convert to fraction form
    10,259.20/15,388.16 = 3,685.20/x
  3. Step 3: Cross multiply
    10,259.20x = 15,388.16 × 3,685.20
  4. Step 4: Simplify right side
    10,259.20x = 56,708,447.23
  5. Step 5: Solve for x
    x = 56,708,447.23/10,259.20
  6. Step 6: Final answer
    x = 5,527.57

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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.