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Finding the Fourth Proportional to 7,706.65, 10,635.16 and 4,169.86

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Solution

The fourth proportional to 7,706.65, 10,635.16 and 4,169.86 is: 5,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.65 : 10,635.16 = 4,169.86 : x
  2. Step 2: Convert to fraction form
    7,706.65/10,635.16 = 4,169.86/x
  3. Step 3: Cross multiply
    7,706.65x = 10,635.16 × 4,169.86
  4. Step 4: Simplify right side
    7,706.65x = 44,347,128.28
  5. Step 5: Solve for x
    x = 44,347,128.28/7,706.65
  6. Step 6: Final answer
    x = 5,754.40

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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.