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Finding the Fourth Proportional to 12,263.04, 16,921.20 and 6,956.82

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Solution

The fourth proportional to 12,263.04, 16,921.20 and 6,956.82 is: 9,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.04 : 16,921.20 = 6,956.82 : x
  2. Step 2: Convert to fraction form
    12,263.04/16,921.20 = 6,956.82/x
  3. Step 3: Cross multiply
    12,263.04x = 16,921.20 × 6,956.82
  4. Step 4: Simplify right side
    12,263.04x = 117,717,742.58
  5. Step 5: Solve for x
    x = 117,717,742.58/12,263.04
  6. Step 6: Final answer
    x = 9,599.39

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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.