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Finding the Fourth Proportional to 8,594.46, 12,892.08 and 2,354.33

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Solution

The fourth proportional to 8,594.46, 12,892.08 and 2,354.33 is: 3,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.46 : 12,892.08 = 2,354.33 : x
  2. Step 2: Convert to fraction form
    8,594.46/12,892.08 = 2,354.33/x
  3. Step 3: Cross multiply
    8,594.46x = 12,892.08 × 2,354.33
  4. Step 4: Simplify right side
    8,594.46x = 30,352,210.71
  5. Step 5: Solve for x
    x = 30,352,210.71/8,594.46
  6. Step 6: Final answer
    x = 3,531.60

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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.