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Finding the Fourth Proportional to 10,894.14, 16,328.25 and 7,589.34

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Solution

The fourth proportional to 10,894.14, 16,328.25 and 7,589.34 is: 11,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.14 : 16,328.25 = 7,589.34 : x
  2. Step 2: Convert to fraction form
    10,894.14/16,328.25 = 7,589.34/x
  3. Step 3: Cross multiply
    10,894.14x = 16,328.25 × 7,589.34
  4. Step 4: Simplify right side
    10,894.14x = 123,920,640.86
  5. Step 5: Solve for x
    x = 123,920,640.86/10,894.14
  6. Step 6: Final answer
    x = 11,374.98

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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.