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Finding the Fourth Proportional to 10,095.21, 13,932.03 and 6,116.67

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Solution

The fourth proportional to 10,095.21, 13,932.03 and 6,116.67 is: 8,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.21 : 13,932.03 = 6,116.67 : x
  2. Step 2: Convert to fraction form
    10,095.21/13,932.03 = 6,116.67/x
  3. Step 3: Cross multiply
    10,095.21x = 13,932.03 × 6,116.67
  4. Step 4: Simplify right side
    10,095.21x = 85,217,629.94
  5. Step 5: Solve for x
    x = 85,217,629.94/10,095.21
  6. Step 6: Final answer
    x = 8,441.39

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Why These Related Problems?

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