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Finding the Fourth Proportional to 10,774, 14,860.36 and 7,593.84

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Solution

The fourth proportional to 10,774, 14,860.36 and 7,593.84 is: 10,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774 : 14,860.36 = 7,593.84 : x
  2. Step 2: Convert to fraction form
    10,774/14,860.36 = 7,593.84/x
  3. Step 3: Cross multiply
    10,774x = 14,860.36 × 7,593.84
  4. Step 4: Simplify right side
    10,774x = 112,847,196.18
  5. Step 5: Solve for x
    x = 112,847,196.18/10,774
  6. Step 6: Final answer
    x = 10,474.03

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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.