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Finding the Fourth Proportional to 10,765.71, 16,140.65 and 3,366.03

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Solution

The fourth proportional to 10,765.71, 16,140.65 and 3,366.03 is: 5,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.71 : 16,140.65 = 3,366.03 : x
  2. Step 2: Convert to fraction form
    10,765.71/16,140.65 = 3,366.03/x
  3. Step 3: Cross multiply
    10,765.71x = 16,140.65 × 3,366.03
  4. Step 4: Simplify right side
    10,765.71x = 54,329,895.29
  5. Step 5: Solve for x
    x = 54,329,895.29/10,765.71
  6. Step 6: Final answer
    x = 5,046.57

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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.