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Finding the Fourth Proportional to 7,196.69, 10,775.82 and 4,232.66

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Solution

The fourth proportional to 7,196.69, 10,775.82 and 4,232.66 is: 6,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.69 : 10,775.82 = 4,232.66 : x
  2. Step 2: Convert to fraction form
    7,196.69/10,775.82 = 4,232.66/x
  3. Step 3: Cross multiply
    7,196.69x = 10,775.82 × 4,232.66
  4. Step 4: Simplify right side
    7,196.69x = 45,610,382.28
  5. Step 5: Solve for x
    x = 45,610,382.28/7,196.69
  6. Step 6: Final answer
    x = 6,337.69

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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.