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Finding the Fourth Proportional to 7,706.76, 10,633.32 and 4,561.53

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Solution

The fourth proportional to 7,706.76, 10,633.32 and 4,561.53 is: 6,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.76 : 10,633.32 = 4,561.53 : x
  2. Step 2: Convert to fraction form
    7,706.76/10,633.32 = 4,561.53/x
  3. Step 3: Cross multiply
    7,706.76x = 10,633.32 × 4,561.53
  4. Step 4: Simplify right side
    7,706.76x = 48,504,208.18
  5. Step 5: Solve for x
    x = 48,504,208.18/7,706.76
  6. Step 6: Final answer
    x = 6,293.72

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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.