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Finding the Fourth Proportional to 10,906.98, 16,252.25 and 10,378.05

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Solution

The fourth proportional to 10,906.98, 16,252.25 and 10,378.05 is: 15,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.98 : 16,252.25 = 10,378.05 : x
  2. Step 2: Convert to fraction form
    10,906.98/16,252.25 = 10,378.05/x
  3. Step 3: Cross multiply
    10,906.98x = 16,252.25 × 10,378.05
  4. Step 4: Simplify right side
    10,906.98x = 168,666,663.11
  5. Step 5: Solve for x
    x = 168,666,663.11/10,906.98
  6. Step 6: Final answer
    x = 15,464.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.