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Finding the Fourth Proportional to 7,706.32, 10,632.08 and 4,348.72

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Solution

The fourth proportional to 7,706.32, 10,632.08 and 4,348.72 is: 5,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.32 : 10,632.08 = 4,348.72 : x
  2. Step 2: Convert to fraction form
    7,706.32/10,632.08 = 4,348.72/x
  3. Step 3: Cross multiply
    7,706.32x = 10,632.08 × 4,348.72
  4. Step 4: Simplify right side
    7,706.32x = 46,235,938.94
  5. Step 5: Solve for x
    x = 46,235,938.94/7,706.32
  6. Step 6: Final answer
    x = 5,999.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.