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Finding the Fourth Proportional to 10,476.99, 15,712.12 and 3,455.42

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Solution

The fourth proportional to 10,476.99, 15,712.12 and 3,455.42 is: 5,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.99 : 15,712.12 = 3,455.42 : x
  2. Step 2: Convert to fraction form
    10,476.99/15,712.12 = 3,455.42/x
  3. Step 3: Cross multiply
    10,476.99x = 15,712.12 × 3,455.42
  4. Step 4: Simplify right side
    10,476.99x = 54,292,004.33
  5. Step 5: Solve for x
    x = 54,292,004.33/10,476.99
  6. Step 6: Final answer
    x = 5,182.03

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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.