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Finding the Fourth Proportional to 11,527.16, 15,906.66 and 6,491.66

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Solution

The fourth proportional to 11,527.16, 15,906.66 and 6,491.66 is: 8,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.16 : 15,906.66 = 6,491.66 : x
  2. Step 2: Convert to fraction form
    11,527.16/15,906.66 = 6,491.66/x
  3. Step 3: Cross multiply
    11,527.16x = 15,906.66 × 6,491.66
  4. Step 4: Simplify right side
    11,527.16x = 103,260,628.46
  5. Step 5: Solve for x
    x = 103,260,628.46/11,527.16
  6. Step 6: Final answer
    x = 8,958.03

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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.