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Finding the Fourth Proportional to 10,042.86, 15,064.23 and 3,022.86

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Solution

The fourth proportional to 10,042.86, 15,064.23 and 3,022.86 is: 4,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.86 : 15,064.23 = 3,022.86 : x
  2. Step 2: Convert to fraction form
    10,042.86/15,064.23 = 3,022.86/x
  3. Step 3: Cross multiply
    10,042.86x = 15,064.23 × 3,022.86
  4. Step 4: Simplify right side
    10,042.86x = 45,537,058.30
  5. Step 5: Solve for x
    x = 45,537,058.30/10,042.86
  6. Step 6: Final answer
    x = 4,534.27

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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.