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Finding the Fourth Proportional to 7,771.65, 10,726.08 and 4,629.66

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Solution

The fourth proportional to 7,771.65, 10,726.08 and 4,629.66 is: 6,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.65 : 10,726.08 = 4,629.66 : x
  2. Step 2: Convert to fraction form
    7,771.65/10,726.08 = 4,629.66/x
  3. Step 3: Cross multiply
    7,771.65x = 10,726.08 × 4,629.66
  4. Step 4: Simplify right side
    7,771.65x = 49,658,103.53
  5. Step 5: Solve for x
    x = 49,658,103.53/7,771.65
  6. Step 6: Final answer
    x = 6,389.65

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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.