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Finding the Fourth Proportional to 10,954.97, 16,428.13 and 4,715.45

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Solution

The fourth proportional to 10,954.97, 16,428.13 and 4,715.45 is: 7,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.97 : 16,428.13 = 4,715.45 : x
  2. Step 2: Convert to fraction form
    10,954.97/16,428.13 = 4,715.45/x
  3. Step 3: Cross multiply
    10,954.97x = 16,428.13 × 4,715.45
  4. Step 4: Simplify right side
    10,954.97x = 77,466,025.61
  5. Step 5: Solve for x
    x = 77,466,025.61/10,954.97
  6. Step 6: Final answer
    x = 7,071.31

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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.