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Finding the Fourth Proportional to 10,989.84, 15,163.29 and 6,514.65

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Solution

The fourth proportional to 10,989.84, 15,163.29 and 6,514.65 is: 8,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.84 : 15,163.29 = 6,514.65 : x
  2. Step 2: Convert to fraction form
    10,989.84/15,163.29 = 6,514.65/x
  3. Step 3: Cross multiply
    10,989.84x = 15,163.29 × 6,514.65
  4. Step 4: Simplify right side
    10,989.84x = 98,783,527.20
  5. Step 5: Solve for x
    x = 98,783,527.20/10,989.84
  6. Step 6: Final answer
    x = 8,988.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.