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Finding the Fourth Proportional to 10,960.38, 16,435.71 and 7,675.02

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Solution

The fourth proportional to 10,960.38, 16,435.71 and 7,675.02 is: 11,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.38 : 16,435.71 = 7,675.02 : x
  2. Step 2: Convert to fraction form
    10,960.38/16,435.71 = 7,675.02/x
  3. Step 3: Cross multiply
    10,960.38x = 16,435.71 × 7,675.02
  4. Step 4: Simplify right side
    10,960.38x = 126,144,402.96
  5. Step 5: Solve for x
    x = 126,144,402.96/10,960.38
  6. Step 6: Final answer
    x = 11,509.13

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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.