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Finding the Fourth Proportional to 10,713.49, 16,088.06 and 7,225.94

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Solution

The fourth proportional to 10,713.49, 16,088.06 and 7,225.94 is: 10,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.49 : 16,088.06 = 7,225.94 : x
  2. Step 2: Convert to fraction form
    10,713.49/16,088.06 = 7,225.94/x
  3. Step 3: Cross multiply
    10,713.49x = 16,088.06 × 7,225.94
  4. Step 4: Simplify right side
    10,713.49x = 116,251,414.56
  5. Step 5: Solve for x
    x = 116,251,414.56/10,713.49
  6. Step 6: Final answer
    x = 10,850.94

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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.