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Finding the Fourth Proportional to 8,736.77, 12,057 and 4,758.05

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Solution

The fourth proportional to 8,736.77, 12,057 and 4,758.05 is: 6,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736.77 : 12,057 = 4,758.05 : x
  2. Step 2: Convert to fraction form
    8,736.77/12,057 = 4,758.05/x
  3. Step 3: Cross multiply
    8,736.77x = 12,057 × 4,758.05
  4. Step 4: Simplify right side
    8,736.77x = 57,367,808.85
  5. Step 5: Solve for x
    x = 57,367,808.85/8,736.77
  6. Step 6: Final answer
    x = 6,566.25

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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.