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Finding the Fourth Proportional to 10,641.68, 15,950.67 and 5,083.05

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Solution

The fourth proportional to 10,641.68, 15,950.67 and 5,083.05 is: 7,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.68 : 15,950.67 = 5,083.05 : x
  2. Step 2: Convert to fraction form
    10,641.68/15,950.67 = 5,083.05/x
  3. Step 3: Cross multiply
    10,641.68x = 15,950.67 × 5,083.05
  4. Step 4: Simplify right side
    10,641.68x = 81,078,122.49
  5. Step 5: Solve for x
    x = 81,078,122.49/10,641.68
  6. Step 6: Final answer
    x = 7,618.92

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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.