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Finding the Fourth Proportional to 11,383.02, 17,085.20 and 7,009.02

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Solution

The fourth proportional to 11,383.02, 17,085.20 and 7,009.02 is: 10,520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.02 : 17,085.20 = 7,009.02 : x
  2. Step 2: Convert to fraction form
    11,383.02/17,085.20 = 7,009.02/x
  3. Step 3: Cross multiply
    11,383.02x = 17,085.20 × 7,009.02
  4. Step 4: Simplify right side
    11,383.02x = 119,750,508.50
  5. Step 5: Solve for x
    x = 119,750,508.50/11,383.02
  6. Step 6: Final answer
    x = 10,520.10

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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.