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Finding the Fourth Proportional to 11,304.36, 16,951.68 and 4,374

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Solution

The fourth proportional to 11,304.36, 16,951.68 and 4,374 is: 6,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.36 : 16,951.68 = 4,374 : x
  2. Step 2: Convert to fraction form
    11,304.36/16,951.68 = 4,374/x
  3. Step 3: Cross multiply
    11,304.36x = 16,951.68 × 4,374
  4. Step 4: Simplify right side
    11,304.36x = 74,146,648.32
  5. Step 5: Solve for x
    x = 74,146,648.32/11,304.36
  6. Step 6: Final answer
    x = 6,559.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.