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Finding the Fourth Proportional to 7,979.34, 11,967.52 and 2,431.20

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Solution

The fourth proportional to 7,979.34, 11,967.52 and 2,431.20 is: 3,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,979.34 : 11,967.52 = 2,431.20 : x
  2. Step 2: Convert to fraction form
    7,979.34/11,967.52 = 2,431.20/x
  3. Step 3: Cross multiply
    7,979.34x = 11,967.52 × 2,431.20
  4. Step 4: Simplify right side
    7,979.34x = 29,095,434.62
  5. Step 5: Solve for x
    x = 29,095,434.62/7,979.34
  6. Step 6: Final answer
    x = 3,646.35

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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.