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Finding the Fourth Proportional to 8,089.46, 12,132.01 and 3,409.50

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Solution

The fourth proportional to 8,089.46, 12,132.01 and 3,409.50 is: 5,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.46 : 12,132.01 = 3,409.50 : x
  2. Step 2: Convert to fraction form
    8,089.46/12,132.01 = 3,409.50/x
  3. Step 3: Cross multiply
    8,089.46x = 12,132.01 × 3,409.50
  4. Step 4: Simplify right side
    8,089.46x = 41,364,088.10
  5. Step 5: Solve for x
    x = 41,364,088.10/8,089.46
  6. Step 6: Final answer
    x = 5,113.33

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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.