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Finding the Fourth Proportional to 8,533.66, 11,776.40 and 4,996.16

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Solution

The fourth proportional to 8,533.66, 11,776.40 and 4,996.16 is: 6,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.66 : 11,776.40 = 4,996.16 : x
  2. Step 2: Convert to fraction form
    8,533.66/11,776.40 = 4,996.16/x
  3. Step 3: Cross multiply
    8,533.66x = 11,776.40 × 4,996.16
  4. Step 4: Simplify right side
    8,533.66x = 58,836,778.62
  5. Step 5: Solve for x
    x = 58,836,778.62/8,533.66
  6. Step 6: Final answer
    x = 6,894.67

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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.