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Finding the Fourth Proportional to 10,755.84, 16,138.32 and 9,894.72

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Solution

The fourth proportional to 10,755.84, 16,138.32 and 9,894.72 is: 14,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.84 : 16,138.32 = 9,894.72 : x
  2. Step 2: Convert to fraction form
    10,755.84/16,138.32 = 9,894.72/x
  3. Step 3: Cross multiply
    10,755.84x = 16,138.32 × 9,894.72
  4. Step 4: Simplify right side
    10,755.84x = 159,684,157.67
  5. Step 5: Solve for x
    x = 159,684,157.67/10,755.84
  6. Step 6: Final answer
    x = 14,846.27

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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.