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Finding the Fourth Proportional to 11,676.52, 17,521.46 and 4,280

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Solution

The fourth proportional to 11,676.52, 17,521.46 and 4,280 is: 6,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.52 : 17,521.46 = 4,280 : x
  2. Step 2: Convert to fraction form
    11,676.52/17,521.46 = 4,280/x
  3. Step 3: Cross multiply
    11,676.52x = 17,521.46 × 4,280
  4. Step 4: Simplify right side
    11,676.52x = 74,991,848.80
  5. Step 5: Solve for x
    x = 74,991,848.80/11,676.52
  6. Step 6: Final answer
    x = 6,422.45

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