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Finding the Fourth Proportional to 7,701.40, 10,627.94 and 4,164.62

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Solution

The fourth proportional to 7,701.40, 10,627.94 and 4,164.62 is: 5,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.40 : 10,627.94 = 4,164.62 : x
  2. Step 2: Convert to fraction form
    7,701.40/10,627.94 = 4,164.62/x
  3. Step 3: Cross multiply
    7,701.40x = 10,627.94 × 4,164.62
  4. Step 4: Simplify right side
    7,701.40x = 44,261,331.48
  5. Step 5: Solve for x
    x = 44,261,331.48/7,701.40
  6. Step 6: Final answer
    x = 5,747.18

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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.