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Finding the Fourth Proportional to 8,983.76, 13,475.35 and 2,409.60

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Solution

The fourth proportional to 8,983.76, 13,475.35 and 2,409.60 is: 3,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.76 : 13,475.35 = 2,409.60 : x
  2. Step 2: Convert to fraction form
    8,983.76/13,475.35 = 2,409.60/x
  3. Step 3: Cross multiply
    8,983.76x = 13,475.35 × 2,409.60
  4. Step 4: Simplify right side
    8,983.76x = 32,470,203.36
  5. Step 5: Solve for x
    x = 32,470,203.36/8,983.76
  6. Step 6: Final answer
    x = 3,614.32

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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.