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Finding the Fourth Proportional to 7,771.18, 10,724.25 and 4,627.30

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Solution

The fourth proportional to 7,771.18, 10,724.25 and 4,627.30 is: 6,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.18 : 10,724.25 = 4,627.30 : x
  2. Step 2: Convert to fraction form
    7,771.18/10,724.25 = 4,627.30/x
  3. Step 3: Cross multiply
    7,771.18x = 10,724.25 × 4,627.30
  4. Step 4: Simplify right side
    7,771.18x = 49,624,322.03
  5. Step 5: Solve for x
    x = 49,624,322.03/7,771.18
  6. Step 6: Final answer
    x = 6,385.69

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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.