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Finding the Fourth Proportional to 11,095.70, 15,286.03 and 7,732.40

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Solution

The fourth proportional to 11,095.70, 15,286.03 and 7,732.40 is: 10,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,095.70 : 15,286.03 = 7,732.40 : x
  2. Step 2: Convert to fraction form
    11,095.70/15,286.03 = 7,732.40/x
  3. Step 3: Cross multiply
    11,095.70x = 15,286.03 × 7,732.40
  4. Step 4: Simplify right side
    11,095.70x = 118,197,717.26
  5. Step 5: Solve for x
    x = 118,197,717.26/11,095.70
  6. Step 6: Final answer
    x = 10,652.57

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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.