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Finding the Fourth Proportional to 8,594.12, 12,869.30 and 7,872.41

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Solution

The fourth proportional to 8,594.12, 12,869.30 and 7,872.41 is: 11,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.12 : 12,869.30 = 7,872.41 : x
  2. Step 2: Convert to fraction form
    8,594.12/12,869.30 = 7,872.41/x
  3. Step 3: Cross multiply
    8,594.12x = 12,869.30 × 7,872.41
  4. Step 4: Simplify right side
    8,594.12x = 101,312,457.87
  5. Step 5: Solve for x
    x = 101,312,457.87/8,594.12
  6. Step 6: Final answer
    x = 11,788.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.