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Finding the Fourth Proportional to 10,333.78, 14,260.74 and 5,617.96

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Solution

The fourth proportional to 10,333.78, 14,260.74 and 5,617.96 is: 7,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.78 : 14,260.74 = 5,617.96 : x
  2. Step 2: Convert to fraction form
    10,333.78/14,260.74 = 5,617.96/x
  3. Step 3: Cross multiply
    10,333.78x = 14,260.74 × 5,617.96
  4. Step 4: Simplify right side
    10,333.78x = 80,116,266.89
  5. Step 5: Solve for x
    x = 80,116,266.89/10,333.78
  6. Step 6: Final answer
    x = 7,752.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.