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Finding the Fourth Proportional to 11,395, 15,725.12 and 6,427

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Solution

The fourth proportional to 11,395, 15,725.12 and 6,427 is: 8,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395 : 15,725.12 = 6,427 : x
  2. Step 2: Convert to fraction form
    11,395/15,725.12 = 6,427/x
  3. Step 3: Cross multiply
    11,395x = 15,725.12 × 6,427
  4. Step 4: Simplify right side
    11,395x = 101,065,346.24
  5. Step 5: Solve for x
    x = 101,065,346.24/11,395
  6. Step 6: Final answer
    x = 8,869.27

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