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Finding the Fourth Proportional to 10,288.96, 15,433.44 and 3,364

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Solution

The fourth proportional to 10,288.96, 15,433.44 and 3,364 is: 5,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.96 : 15,433.44 = 3,364 : x
  2. Step 2: Convert to fraction form
    10,288.96/15,433.44 = 3,364/x
  3. Step 3: Cross multiply
    10,288.96x = 15,433.44 × 3,364
  4. Step 4: Simplify right side
    10,288.96x = 51,918,092.16
  5. Step 5: Solve for x
    x = 51,918,092.16/10,288.96
  6. Step 6: Final answer
    x = 5,046.00

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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.