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Finding the Fourth Proportional to 10,950.83, 16,426.02 and 7,432.05

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Solution

The fourth proportional to 10,950.83, 16,426.02 and 7,432.05 is: 11,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.83 : 16,426.02 = 7,432.05 : x
  2. Step 2: Convert to fraction form
    10,950.83/16,426.02 = 7,432.05/x
  3. Step 3: Cross multiply
    10,950.83x = 16,426.02 × 7,432.05
  4. Step 4: Simplify right side
    10,950.83x = 122,079,091.41
  5. Step 5: Solve for x
    x = 122,079,091.41/10,950.83
  6. Step 6: Final answer
    x = 11,147.93

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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.