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Finding the Fourth Proportional to 11,381.47, 15,703.70 and 6,905.09

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Solution

The fourth proportional to 11,381.47, 15,703.70 and 6,905.09 is: 9,527.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.47 : 15,703.70 = 6,905.09 : x
  2. Step 2: Convert to fraction form
    11,381.47/15,703.70 = 6,905.09/x
  3. Step 3: Cross multiply
    11,381.47x = 15,703.70 × 6,905.09
  4. Step 4: Simplify right side
    11,381.47x = 108,435,466.57
  5. Step 5: Solve for x
    x = 108,435,466.57/11,381.47
  6. Step 6: Final answer
    x = 9,527.37

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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.