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Finding the Fourth Proportional to 10,872.40, 16,308.70 and 5,688.40

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Solution

The fourth proportional to 10,872.40, 16,308.70 and 5,688.40 is: 8,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.40 : 16,308.70 = 5,688.40 : x
  2. Step 2: Convert to fraction form
    10,872.40/16,308.70 = 5,688.40/x
  3. Step 3: Cross multiply
    10,872.40x = 16,308.70 × 5,688.40
  4. Step 4: Simplify right side
    10,872.40x = 92,770,409.08
  5. Step 5: Solve for x
    x = 92,770,409.08/10,872.40
  6. Step 6: Final answer
    x = 8,532.65

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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.