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Finding the Fourth Proportional to 10,349.76, 15,524.28 and 2,954.22

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Solution

The fourth proportional to 10,349.76, 15,524.28 and 2,954.22 is: 4,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.76 : 15,524.28 = 2,954.22 : x
  2. Step 2: Convert to fraction form
    10,349.76/15,524.28 = 2,954.22/x
  3. Step 3: Cross multiply
    10,349.76x = 15,524.28 × 2,954.22
  4. Step 4: Simplify right side
    10,349.76x = 45,862,060.84
  5. Step 5: Solve for x
    x = 45,862,060.84/10,349.76
  6. Step 6: Final answer
    x = 4,431.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.