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Finding the Fourth Proportional to 10,217.49, 15,328.05 and 3,980.89

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Solution

The fourth proportional to 10,217.49, 15,328.05 and 3,980.89 is: 5,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.49 : 15,328.05 = 3,980.89 : x
  2. Step 2: Convert to fraction form
    10,217.49/15,328.05 = 3,980.89/x
  3. Step 3: Cross multiply
    10,217.49x = 15,328.05 × 3,980.89
  4. Step 4: Simplify right side
    10,217.49x = 61,019,280.96
  5. Step 5: Solve for x
    x = 61,019,280.96/10,217.49
  6. Step 6: Final answer
    x = 5,972.05

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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.