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Finding the Fourth Proportional to 10,164.84, 14,027.63 and 5,688.78

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Solution

The fourth proportional to 10,164.84, 14,027.63 and 5,688.78 is: 7,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.84 : 14,027.63 = 5,688.78 : x
  2. Step 2: Convert to fraction form
    10,164.84/14,027.63 = 5,688.78/x
  3. Step 3: Cross multiply
    10,164.84x = 14,027.63 × 5,688.78
  4. Step 4: Simplify right side
    10,164.84x = 79,800,072.55
  5. Step 5: Solve for x
    x = 79,800,072.55/10,164.84
  6. Step 6: Final answer
    x = 7,850.60

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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.