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Finding the Fourth Proportional to 12,303.78, 16,979.20 and 6,714.78

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Solution

The fourth proportional to 12,303.78, 16,979.20 and 6,714.78 is: 9,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.78 : 16,979.20 = 6,714.78 : x
  2. Step 2: Convert to fraction form
    12,303.78/16,979.20 = 6,714.78/x
  3. Step 3: Cross multiply
    12,303.78x = 16,979.20 × 6,714.78
  4. Step 4: Simplify right side
    12,303.78x = 114,011,592.58
  5. Step 5: Solve for x
    x = 114,011,592.58/12,303.78
  6. Step 6: Final answer
    x = 9,266.39

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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.