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Finding the Fourth Proportional to 8,533.86, 11,777.08 and 4,757.24

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Solution

The fourth proportional to 8,533.86, 11,777.08 and 4,757.24 is: 6,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.86 : 11,777.08 = 4,757.24 : x
  2. Step 2: Convert to fraction form
    8,533.86/11,777.08 = 4,757.24/x
  3. Step 3: Cross multiply
    8,533.86x = 11,777.08 × 4,757.24
  4. Step 4: Simplify right side
    8,533.86x = 56,026,396.06
  5. Step 5: Solve for x
    x = 56,026,396.06/8,533.86
  6. Step 6: Final answer
    x = 6,565.19

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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.