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Finding the Fourth Proportional to 10,956.70, 16,435.05 and 6,801.40

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Solution

The fourth proportional to 10,956.70, 16,435.05 and 6,801.40 is: 10,202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.70 : 16,435.05 = 6,801.40 : x
  2. Step 2: Convert to fraction form
    10,956.70/16,435.05 = 6,801.40/x
  3. Step 3: Cross multiply
    10,956.70x = 16,435.05 × 6,801.40
  4. Step 4: Simplify right side
    10,956.70x = 111,781,349.07
  5. Step 5: Solve for x
    x = 111,781,349.07/10,956.70
  6. Step 6: Final answer
    x = 10,202.10

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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.