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Finding the Fourth Proportional to 7,701.84, 10,627.74 and 4,344.84

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Solution

The fourth proportional to 7,701.84, 10,627.74 and 4,344.84 is: 5,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.84 : 10,627.74 = 4,344.84 : x
  2. Step 2: Convert to fraction form
    7,701.84/10,627.74 = 4,344.84/x
  3. Step 3: Cross multiply
    7,701.84x = 10,627.74 × 4,344.84
  4. Step 4: Simplify right side
    7,701.84x = 46,175,829.86
  5. Step 5: Solve for x
    x = 46,175,829.86/7,701.84
  6. Step 6: Final answer
    x = 5,995.43

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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.