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Finding the Fourth Proportional to 10,253.84, 15,380.58 and 3,328.34

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Solution

The fourth proportional to 10,253.84, 15,380.58 and 3,328.34 is: 4,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.84 : 15,380.58 = 3,328.34 : x
  2. Step 2: Convert to fraction form
    10,253.84/15,380.58 = 3,328.34/x
  3. Step 3: Cross multiply
    10,253.84x = 15,380.58 × 3,328.34
  4. Step 4: Simplify right side
    10,253.84x = 51,191,799.64
  5. Step 5: Solve for x
    x = 51,191,799.64/10,253.84
  6. Step 6: Final answer
    x = 4,992.45

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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.