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Finding the Fourth Proportional to 10,420.71, 15,631.02 and 2,629.50

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Solution

The fourth proportional to 10,420.71, 15,631.02 and 2,629.50 is: 3,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.71 : 15,631.02 = 2,629.50 : x
  2. Step 2: Convert to fraction form
    10,420.71/15,631.02 = 2,629.50/x
  3. Step 3: Cross multiply
    10,420.71x = 15,631.02 × 2,629.50
  4. Step 4: Simplify right side
    10,420.71x = 41,101,767.09
  5. Step 5: Solve for x
    x = 41,101,767.09/10,420.71
  6. Step 6: Final answer
    x = 3,944.24

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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.