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Finding the Fourth Proportional to 10,031.77, 13,842.12 and 6,256.12

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Solution

The fourth proportional to 10,031.77, 13,842.12 and 6,256.12 is: 8,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,031.77 : 13,842.12 = 6,256.12 : x
  2. Step 2: Convert to fraction form
    10,031.77/13,842.12 = 6,256.12/x
  3. Step 3: Cross multiply
    10,031.77x = 13,842.12 × 6,256.12
  4. Step 4: Simplify right side
    10,031.77x = 86,597,894.56
  5. Step 5: Solve for x
    x = 86,597,894.56/10,031.77
  6. Step 6: Final answer
    x = 8,632.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.