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Finding the Fourth Proportional to 8,594.92, 12,875.30 and 5,664.34

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Solution

The fourth proportional to 8,594.92, 12,875.30 and 5,664.34 is: 8,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.92 : 12,875.30 = 5,664.34 : x
  2. Step 2: Convert to fraction form
    8,594.92/12,875.30 = 5,664.34/x
  3. Step 3: Cross multiply
    8,594.92x = 12,875.30 × 5,664.34
  4. Step 4: Simplify right side
    8,594.92x = 72,930,076.80
  5. Step 5: Solve for x
    x = 72,930,076.80/8,594.92
  6. Step 6: Final answer
    x = 8,485.25

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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.