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Finding the Fourth Proportional to 10,549.71, 15,821.10 and 3,884.67

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Solution

The fourth proportional to 10,549.71, 15,821.10 and 3,884.67 is: 5,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.71 : 15,821.10 = 3,884.67 : x
  2. Step 2: Convert to fraction form
    10,549.71/15,821.10 = 3,884.67/x
  3. Step 3: Cross multiply
    10,549.71x = 15,821.10 × 3,884.67
  4. Step 4: Simplify right side
    10,549.71x = 61,459,752.54
  5. Step 5: Solve for x
    x = 61,459,752.54/10,549.71
  6. Step 6: Final answer
    x = 5,825.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.