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Finding the Fourth Proportional to 10,202.08, 14,072.52 and 6,009.52

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Solution

The fourth proportional to 10,202.08, 14,072.52 and 6,009.52 is: 8,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.08 : 14,072.52 = 6,009.52 : x
  2. Step 2: Convert to fraction form
    10,202.08/14,072.52 = 6,009.52/x
  3. Step 3: Cross multiply
    10,202.08x = 14,072.52 × 6,009.52
  4. Step 4: Simplify right side
    10,202.08x = 84,569,090.39
  5. Step 5: Solve for x
    x = 84,569,090.39/10,202.08
  6. Step 6: Final answer
    x = 8,289.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.