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Finding the Fourth Proportional to 8,594, 12,890.32 and 2,749.04

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Solution

The fourth proportional to 8,594, 12,890.32 and 2,749.04 is: 4,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594 : 12,890.32 = 2,749.04 : x
  2. Step 2: Convert to fraction form
    8,594/12,890.32 = 2,749.04/x
  3. Step 3: Cross multiply
    8,594x = 12,890.32 × 2,749.04
  4. Step 4: Simplify right side
    8,594x = 35,436,005.29
  5. Step 5: Solve for x
    x = 35,436,005.29/8,594
  6. Step 6: Final answer
    x = 4,123.34

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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.