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Finding the Fourth Proportional to 10,953.75, 15,116.18 and 6,238

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Solution

The fourth proportional to 10,953.75, 15,116.18 and 6,238 is: 8,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.75 : 15,116.18 = 6,238 : x
  2. Step 2: Convert to fraction form
    10,953.75/15,116.18 = 6,238/x
  3. Step 3: Cross multiply
    10,953.75x = 15,116.18 × 6,238
  4. Step 4: Simplify right side
    10,953.75x = 94,294,730.84
  5. Step 5: Solve for x
    x = 94,294,730.84/10,953.75
  6. Step 6: Final answer
    x = 8,608.44

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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.