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Finding the Fourth Proportional to 8,533.92, 11,776.68 and 4,757.24

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Solution

The fourth proportional to 8,533.92, 11,776.68 and 4,757.24 is: 6,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.92 : 11,776.68 = 4,757.24 : x
  2. Step 2: Convert to fraction form
    8,533.92/11,776.68 = 4,757.24/x
  3. Step 3: Cross multiply
    8,533.92x = 11,776.68 × 4,757.24
  4. Step 4: Simplify right side
    8,533.92x = 56,024,493.16
  5. Step 5: Solve for x
    x = 56,024,493.16/8,533.92
  6. Step 6: Final answer
    x = 6,564.92

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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.