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Finding the Fourth Proportional to 7,760.65, 10,709.73 and 4,223.90

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Solution

The fourth proportional to 7,760.65, 10,709.73 and 4,223.90 is: 5,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.65 : 10,709.73 = 4,223.90 : x
  2. Step 2: Convert to fraction form
    7,760.65/10,709.73 = 4,223.90/x
  3. Step 3: Cross multiply
    7,760.65x = 10,709.73 × 4,223.90
  4. Step 4: Simplify right side
    7,760.65x = 45,236,828.55
  5. Step 5: Solve for x
    x = 45,236,828.55/7,760.65
  6. Step 6: Final answer
    x = 5,829.00

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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.