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Finding the Fourth Proportional to 11,252.64, 16,877.68 and 3,044

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Solution

The fourth proportional to 11,252.64, 16,877.68 and 3,044 is: 4,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,252.64 : 16,877.68 = 3,044 : x
  2. Step 2: Convert to fraction form
    11,252.64/16,877.68 = 3,044/x
  3. Step 3: Cross multiply
    11,252.64x = 16,877.68 × 3,044
  4. Step 4: Simplify right side
    11,252.64x = 51,375,657.92
  5. Step 5: Solve for x
    x = 51,375,657.92/11,252.64
  6. Step 6: Final answer
    x = 4,565.65

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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.