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Finding the Fourth Proportional to 8,409.05, 12,613.59 and 2,565.66

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Solution

The fourth proportional to 8,409.05, 12,613.59 and 2,565.66 is: 3,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.05 : 12,613.59 = 2,565.66 : x
  2. Step 2: Convert to fraction form
    8,409.05/12,613.59 = 2,565.66/x
  3. Step 3: Cross multiply
    8,409.05x = 12,613.59 × 2,565.66
  4. Step 4: Simplify right side
    8,409.05x = 32,362,183.32
  5. Step 5: Solve for x
    x = 32,362,183.32/8,409.05
  6. Step 6: Final answer
    x = 3,848.50

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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.