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Finding the Fourth Proportional to 11,422, 17,135.52 and 4,853.80

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Solution

The fourth proportional to 11,422, 17,135.52 and 4,853.80 is: 7,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422 : 17,135.52 = 4,853.80 : x
  2. Step 2: Convert to fraction form
    11,422/17,135.52 = 4,853.80/x
  3. Step 3: Cross multiply
    11,422x = 17,135.52 × 4,853.80
  4. Step 4: Simplify right side
    11,422x = 83,172,386.98
  5. Step 5: Solve for x
    x = 83,172,386.98/11,422
  6. Step 6: Final answer
    x = 7,281.77

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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.