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Finding the Fourth Proportional to 10,406.67, 15,608.10 and 3,009.30

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Solution

The fourth proportional to 10,406.67, 15,608.10 and 3,009.30 is: 4,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.67 : 15,608.10 = 3,009.30 : x
  2. Step 2: Convert to fraction form
    10,406.67/15,608.10 = 3,009.30/x
  3. Step 3: Cross multiply
    10,406.67x = 15,608.10 × 3,009.30
  4. Step 4: Simplify right side
    10,406.67x = 46,969,455.33
  5. Step 5: Solve for x
    x = 46,969,455.33/10,406.67
  6. Step 6: Final answer
    x = 4,513.40

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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.