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Finding the Fourth Proportional to 11,527.38, 15,905.25 and 6,809.22

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Solution

The fourth proportional to 11,527.38, 15,905.25 and 6,809.22 is: 9,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.38 : 15,905.25 = 6,809.22 : x
  2. Step 2: Convert to fraction form
    11,527.38/15,905.25 = 6,809.22/x
  3. Step 3: Cross multiply
    11,527.38x = 15,905.25 × 6,809.22
  4. Step 4: Simplify right side
    11,527.38x = 108,302,346.41
  5. Step 5: Solve for x
    x = 108,302,346.41/11,527.38
  6. Step 6: Final answer
    x = 9,395.23

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Why These Related Problems?

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