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Finding the Fourth Proportional to 8,982.16, 13,465.04 and 7,604.36

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Solution

The fourth proportional to 8,982.16, 13,465.04 and 7,604.36 is: 11,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.16 : 13,465.04 = 7,604.36 : x
  2. Step 2: Convert to fraction form
    8,982.16/13,465.04 = 7,604.36/x
  3. Step 3: Cross multiply
    8,982.16x = 13,465.04 × 7,604.36
  4. Step 4: Simplify right side
    8,982.16x = 102,393,011.57
  5. Step 5: Solve for x
    x = 102,393,011.57/8,982.16
  6. Step 6: Final answer
    x = 11,399.60

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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.