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Finding the Fourth Proportional to 11,356.84, 15,672.26 and 6,321

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Solution

The fourth proportional to 11,356.84, 15,672.26 and 6,321 is: 8,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.84 : 15,672.26 = 6,321 : x
  2. Step 2: Convert to fraction form
    11,356.84/15,672.26 = 6,321/x
  3. Step 3: Cross multiply
    11,356.84x = 15,672.26 × 6,321
  4. Step 4: Simplify right side
    11,356.84x = 99,064,355.46
  5. Step 5: Solve for x
    x = 99,064,355.46/11,356.84
  6. Step 6: Final answer
    x = 8,722.88

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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.