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Finding the Fourth Proportional to 10,893.80, 16,316.40 and 5,693.60

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Solution

The fourth proportional to 10,893.80, 16,316.40 and 5,693.60 is: 8,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.80 : 16,316.40 = 5,693.60 : x
  2. Step 2: Convert to fraction form
    10,893.80/16,316.40 = 5,693.60/x
  3. Step 3: Cross multiply
    10,893.80x = 16,316.40 × 5,693.60
  4. Step 4: Simplify right side
    10,893.80x = 92,899,055.04
  5. Step 5: Solve for x
    x = 92,899,055.04/10,893.80
  6. Step 6: Final answer
    x = 8,527.70

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Why These Related Problems?

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