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Finding the Fourth Proportional to 10,200, 15,285.40 and 5,808.39

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Solution

The fourth proportional to 10,200, 15,285.40 and 5,808.39 is: 8,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200 : 15,285.40 = 5,808.39 : x
  2. Step 2: Convert to fraction form
    10,200/15,285.40 = 5,808.39/x
  3. Step 3: Cross multiply
    10,200x = 15,285.40 × 5,808.39
  4. Step 4: Simplify right side
    10,200x = 88,783,564.51
  5. Step 5: Solve for x
    x = 88,783,564.51/10,200
  6. Step 6: Final answer
    x = 8,704.27

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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.