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Finding the Fourth Proportional to 10,953.88, 15,116.38 and 6,238.16

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Solution

The fourth proportional to 10,953.88, 15,116.38 and 6,238.16 is: 8,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.88 : 15,116.38 = 6,238.16 : x
  2. Step 2: Convert to fraction form
    10,953.88/15,116.38 = 6,238.16/x
  3. Step 3: Cross multiply
    10,953.88x = 15,116.38 × 6,238.16
  4. Step 4: Simplify right side
    10,953.88x = 94,298,397.06
  5. Step 5: Solve for x
    x = 94,298,397.06/10,953.88
  6. Step 6: Final answer
    x = 8,608.68

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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.