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Finding the Fourth Proportional to 7,795.05, 10,760.71 and 4,966.30

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Solution

The fourth proportional to 7,795.05, 10,760.71 and 4,966.30 is: 6,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.05 : 10,760.71 = 4,966.30 : x
  2. Step 2: Convert to fraction form
    7,795.05/10,760.71 = 4,966.30/x
  3. Step 3: Cross multiply
    7,795.05x = 10,760.71 × 4,966.30
  4. Step 4: Simplify right side
    7,795.05x = 53,440,914.07
  5. Step 5: Solve for x
    x = 53,440,914.07/7,795.05
  6. Step 6: Final answer
    x = 6,855.75

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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.