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Finding the Fourth Proportional to 10,959.27, 16,433.07 and 5,688.99

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Solution

The fourth proportional to 10,959.27, 16,433.07 and 5,688.99 is: 8,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.27 : 16,433.07 = 5,688.99 : x
  2. Step 2: Convert to fraction form
    10,959.27/16,433.07 = 5,688.99/x
  3. Step 3: Cross multiply
    10,959.27x = 16,433.07 × 5,688.99
  4. Step 4: Simplify right side
    10,959.27x = 93,487,570.90
  5. Step 5: Solve for x
    x = 93,487,570.90/10,959.27
  6. Step 6: Final answer
    x = 8,530.46

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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.