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Finding the Fourth Proportional to 7,706.10, 10,633.77 and 4,519.06

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Solution

The fourth proportional to 7,706.10, 10,633.77 and 4,519.06 is: 6,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.10 : 10,633.77 = 4,519.06 : x
  2. Step 2: Convert to fraction form
    7,706.10/10,633.77 = 4,519.06/x
  3. Step 3: Cross multiply
    7,706.10x = 10,633.77 × 4,519.06
  4. Step 4: Simplify right side
    7,706.10x = 48,054,662.74
  5. Step 5: Solve for x
    x = 48,054,662.74/7,706.10
  6. Step 6: Final answer
    x = 6,235.93

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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.