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Finding the Fourth Proportional to 8,390.15, 12,577 and 3,463.93

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Solution

The fourth proportional to 8,390.15, 12,577 and 3,463.93 is: 5,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.15 : 12,577 = 3,463.93 : x
  2. Step 2: Convert to fraction form
    8,390.15/12,577 = 3,463.93/x
  3. Step 3: Cross multiply
    8,390.15x = 12,577 × 3,463.93
  4. Step 4: Simplify right side
    8,390.15x = 43,565,784.73
  5. Step 5: Solve for x
    x = 43,565,784.73/8,390.15
  6. Step 6: Final answer
    x = 5,192.49

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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.