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Finding the Fourth Proportional to 8,544.58, 12,737.65 and 8,409.64

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Solution

The fourth proportional to 8,544.58, 12,737.65 and 8,409.64 is: 12,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.58 : 12,737.65 = 8,409.64 : x
  2. Step 2: Convert to fraction form
    8,544.58/12,737.65 = 8,409.64/x
  3. Step 3: Cross multiply
    8,544.58x = 12,737.65 × 8,409.64
  4. Step 4: Simplify right side
    8,544.58x = 107,119,049.56
  5. Step 5: Solve for x
    x = 107,119,049.56/8,544.58
  6. Step 6: Final answer
    x = 12,536.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.