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Finding the Fourth Proportional to 11,256.96, 16,898.40 and 6,902.40

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Solution

The fourth proportional to 11,256.96, 16,898.40 and 6,902.40 is: 10,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.96 : 16,898.40 = 6,902.40 : x
  2. Step 2: Convert to fraction form
    11,256.96/16,898.40 = 6,902.40/x
  3. Step 3: Cross multiply
    11,256.96x = 16,898.40 × 6,902.40
  4. Step 4: Simplify right side
    11,256.96x = 116,639,516.16
  5. Step 5: Solve for x
    x = 116,639,516.16/11,256.96
  6. Step 6: Final answer
    x = 10,361.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.