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Finding the Fourth Proportional to 8,656.94, 11,944.64 and 5,299.49

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Solution

The fourth proportional to 8,656.94, 11,944.64 and 5,299.49 is: 7,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.94 : 11,944.64 = 5,299.49 : x
  2. Step 2: Convert to fraction form
    8,656.94/11,944.64 = 5,299.49/x
  3. Step 3: Cross multiply
    8,656.94x = 11,944.64 × 5,299.49
  4. Step 4: Simplify right side
    8,656.94x = 63,300,453.76
  5. Step 5: Solve for x
    x = 63,300,453.76/8,656.94
  6. Step 6: Final answer
    x = 7,312.11

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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.