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Finding the Fourth Proportional to 7,522.64, 11,284.92 and 2,906

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Solution

The fourth proportional to 7,522.64, 11,284.92 and 2,906 is: 4,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.64 : 11,284.92 = 2,906 : x
  2. Step 2: Convert to fraction form
    7,522.64/11,284.92 = 2,906/x
  3. Step 3: Cross multiply
    7,522.64x = 11,284.92 × 2,906
  4. Step 4: Simplify right side
    7,522.64x = 32,793,977.52
  5. Step 5: Solve for x
    x = 32,793,977.52/7,522.64
  6. Step 6: Final answer
    x = 4,359.37

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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.