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Finding the Fourth Proportional to 11,310, 15,611.31 and 7,584

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Solution

The fourth proportional to 11,310, 15,611.31 and 7,584 is: 10,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310 : 15,611.31 = 7,584 : x
  2. Step 2: Convert to fraction form
    11,310/15,611.31 = 7,584/x
  3. Step 3: Cross multiply
    11,310x = 15,611.31 × 7,584
  4. Step 4: Simplify right side
    11,310x = 118,396,175.04
  5. Step 5: Solve for x
    x = 118,396,175.04/11,310
  6. Step 6: Final answer
    x = 10,468.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.