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Finding the Fourth Proportional to 8,411.60, 12,611.50 and 3,729.06

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Solution

The fourth proportional to 8,411.60, 12,611.50 and 3,729.06 is: 5,590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.60 : 12,611.50 = 3,729.06 : x
  2. Step 2: Convert to fraction form
    8,411.60/12,611.50 = 3,729.06/x
  3. Step 3: Cross multiply
    8,411.60x = 12,611.50 × 3,729.06
  4. Step 4: Simplify right side
    8,411.60x = 47,029,030.87
  5. Step 5: Solve for x
    x = 47,029,030.87/8,411.60
  6. Step 6: Final answer
    x = 5,590.97

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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.