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Finding the Fourth Proportional to 10,344, 14,273.28 and 6,154.56

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Solution

The fourth proportional to 10,344, 14,273.28 and 6,154.56 is: 8,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344 : 14,273.28 = 6,154.56 : x
  2. Step 2: Convert to fraction form
    10,344/14,273.28 = 6,154.56/x
  3. Step 3: Cross multiply
    10,344x = 14,273.28 × 6,154.56
  4. Step 4: Simplify right side
    10,344x = 87,845,758.16
  5. Step 5: Solve for x
    x = 87,845,758.16/10,344
  6. Step 6: Final answer
    x = 8,492.44

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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.