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Finding the Fourth Proportional to 10,908.34, 16,367.37 and 5,713

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Solution

The fourth proportional to 10,908.34, 16,367.37 and 5,713 is: 8,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.34 : 16,367.37 = 5,713 : x
  2. Step 2: Convert to fraction form
    10,908.34/16,367.37 = 5,713/x
  3. Step 3: Cross multiply
    10,908.34x = 16,367.37 × 5,713
  4. Step 4: Simplify right side
    10,908.34x = 93,506,784.81
  5. Step 5: Solve for x
    x = 93,506,784.81/10,908.34
  6. Step 6: Final answer
    x = 8,572.05

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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.