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Finding the Fourth Proportional to 7,480, 11,221.62 and 2,863

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Solution

The fourth proportional to 7,480, 11,221.62 and 2,863 is: 4,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480 : 11,221.62 = 2,863 : x
  2. Step 2: Convert to fraction form
    7,480/11,221.62 = 2,863/x
  3. Step 3: Cross multiply
    7,480x = 11,221.62 × 2,863
  4. Step 4: Simplify right side
    7,480x = 32,127,498.06
  5. Step 5: Solve for x
    x = 32,127,498.06/7,480
  6. Step 6: Final answer
    x = 4,295.12

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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.