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Finding the Fourth Proportional to 10,810.80, 16,203.40 and 8,071.60

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Solution

The fourth proportional to 10,810.80, 16,203.40 and 8,071.60 is: 12,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.80 : 16,203.40 = 8,071.60 : x
  2. Step 2: Convert to fraction form
    10,810.80/16,203.40 = 8,071.60/x
  3. Step 3: Cross multiply
    10,810.80x = 16,203.40 × 8,071.60
  4. Step 4: Simplify right side
    10,810.80x = 130,787,363.44
  5. Step 5: Solve for x
    x = 130,787,363.44/10,810.80
  6. Step 6: Final answer
    x = 12,097.84

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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.