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Finding the Fourth Proportional to 8,594.63, 12,894.10 and 2,438.63

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Solution

The fourth proportional to 8,594.63, 12,894.10 and 2,438.63 is: 3,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.63 : 12,894.10 = 2,438.63 : x
  2. Step 2: Convert to fraction form
    8,594.63/12,894.10 = 2,438.63/x
  3. Step 3: Cross multiply
    8,594.63x = 12,894.10 × 2,438.63
  4. Step 4: Simplify right side
    8,594.63x = 31,443,868.52
  5. Step 5: Solve for x
    x = 31,443,868.52/8,594.63
  6. Step 6: Final answer
    x = 3,658.55

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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.