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Finding the Fourth Proportional to 10,132.96, 15,199.44 and 3,208

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Solution

The fourth proportional to 10,132.96, 15,199.44 and 3,208 is: 4,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.96 : 15,199.44 = 3,208 : x
  2. Step 2: Convert to fraction form
    10,132.96/15,199.44 = 3,208/x
  3. Step 3: Cross multiply
    10,132.96x = 15,199.44 × 3,208
  4. Step 4: Simplify right side
    10,132.96x = 48,759,803.52
  5. Step 5: Solve for x
    x = 48,759,803.52/10,132.96
  6. Step 6: Final answer
    x = 4,812.00

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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.