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Finding the Fourth Proportional to 7,706.46, 10,634.55 and 4,348.86

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Solution

The fourth proportional to 7,706.46, 10,634.55 and 4,348.86 is: 6,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.46 : 10,634.55 = 4,348.86 : x
  2. Step 2: Convert to fraction form
    7,706.46/10,634.55 = 4,348.86/x
  3. Step 3: Cross multiply
    7,706.46x = 10,634.55 × 4,348.86
  4. Step 4: Simplify right side
    7,706.46x = 46,248,169.11
  5. Step 5: Solve for x
    x = 46,248,169.11/7,706.46
  6. Step 6: Final answer
    x = 6,001.22

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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.