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Finding the Fourth Proportional to 11,357.64, 17,010 and 10,963.53

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Solution

The fourth proportional to 11,357.64, 17,010 and 10,963.53 is: 16,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.64 : 17,010 = 10,963.53 : x
  2. Step 2: Convert to fraction form
    11,357.64/17,010 = 10,963.53/x
  3. Step 3: Cross multiply
    11,357.64x = 17,010 × 10,963.53
  4. Step 4: Simplify right side
    11,357.64x = 186,489,645.30
  5. Step 5: Solve for x
    x = 186,489,645.30/11,357.64
  6. Step 6: Final answer
    x = 16,419.75

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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.